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Finding the Fourth Proportional to 569,051.53, 785,307.05 and 314,419.21

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Solution

The fourth proportional to 569,051.53, 785,307.05 and 314,419.21 is: 433,907.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,051.53 : 785,307.05 = 314,419.21 : x
  2. Step 2: Convert to fraction form
    569,051.53/785,307.05 = 314,419.21/x
  3. Step 3: Cross multiply
    569,051.53x = 785,307.05 × 314,419.21
  4. Step 4: Simplify right side
    569,051.53x = 246,915,622,268.43
  5. Step 5: Solve for x
    x = 246,915,622,268.43/569,051.53
  6. Step 6: Final answer
    x = 433,907.32

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.