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Finding the Fourth Proportional to 569,377.90, 785,741.70 and 314,729.02

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Solution

The fourth proportional to 569,377.90, 785,741.70 and 314,729.02 is: 434,326.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,377.90 : 785,741.70 = 314,729.02 : x
  2. Step 2: Convert to fraction form
    569,377.90/785,741.70 = 314,729.02/x
  3. Step 3: Cross multiply
    569,377.90x = 785,741.70 × 314,729.02
  4. Step 4: Simplify right side
    569,377.90x = 247,295,715,214.13
  5. Step 5: Solve for x
    x = 247,295,715,214.13/569,377.90
  6. Step 6: Final answer
    x = 434,326.16

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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.