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Finding the Fourth Proportional to 569,164.86, 785,497.20 and 314,565.24

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Solution

The fourth proportional to 569,164.86, 785,497.20 and 314,565.24 is: 434,127.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,164.86 : 785,497.20 = 314,565.24 : x
  2. Step 2: Convert to fraction form
    569,164.86/785,497.20 = 314,565.24/x
  3. Step 3: Cross multiply
    569,164.86x = 785,497.20 × 314,565.24
  4. Step 4: Simplify right side
    569,164.86x = 247,090,115,237.33
  5. Step 5: Solve for x
    x = 247,090,115,237.33/569,164.86
  6. Step 6: Final answer
    x = 434,127.50

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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.