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Finding the Fourth Proportional to 569,084.76, 785,335.37 and 314,434.13

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Solution

The fourth proportional to 569,084.76, 785,335.37 and 314,434.13 is: 433,918.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,084.76 : 785,335.37 = 314,434.13 : x
  2. Step 2: Convert to fraction form
    569,084.76/785,335.37 = 314,434.13/x
  3. Step 3: Cross multiply
    569,084.76x = 785,335.37 × 314,434.13
  4. Step 4: Simplify right side
    569,084.76x = 246,936,238,325.33
  5. Step 5: Solve for x
    x = 246,936,238,325.33/569,084.76
  6. Step 6: Final answer
    x = 433,918.21

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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.