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Finding the Fourth Proportional to 569,061.80, 785,321.12 and 314,429.40

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Solution

The fourth proportional to 569,061.80, 785,321.12 and 314,429.40 is: 433,921.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,061.80 : 785,321.12 = 314,429.40 : x
  2. Step 2: Convert to fraction form
    569,061.80/785,321.12 = 314,429.40/x
  3. Step 3: Cross multiply
    569,061.80x = 785,321.12 × 314,429.40
  4. Step 4: Simplify right side
    569,061.80x = 246,928,048,568.93
  5. Step 5: Solve for x
    x = 246,928,048,568.93/569,061.80
  6. Step 6: Final answer
    x = 433,921.32

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