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Finding the Fourth Proportional to 569,037.68, 785,261.76 and 314,406.08

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Solution

The fourth proportional to 569,037.68, 785,261.76 and 314,406.08 is: 433,874.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,037.68 : 785,261.76 = 314,406.08 : x
  2. Step 2: Convert to fraction form
    569,037.68/785,261.76 = 314,406.08/x
  3. Step 3: Cross multiply
    569,037.68x = 785,261.76 × 314,406.08
  4. Step 4: Simplify right side
    569,037.68x = 246,891,071,735.50
  5. Step 5: Solve for x
    x = 246,891,071,735.50/569,037.68
  6. Step 6: Final answer
    x = 433,874.73

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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.