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Finding the Fourth Proportional to 569,132.69, 785,397.53 and 314,478.41

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Solution

The fourth proportional to 569,132.69, 785,397.53 and 314,478.41 is: 433,977.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,132.69 : 785,397.53 = 314,478.41 : x
  2. Step 2: Convert to fraction form
    569,132.69/785,397.53 = 314,478.41/x
  3. Step 3: Cross multiply
    569,132.69x = 785,397.53 × 314,478.41
  4. Step 4: Simplify right side
    569,132.69x = 246,990,563,311.54
  5. Step 5: Solve for x
    x = 246,990,563,311.54/569,132.69
  6. Step 6: Final answer
    x = 433,977.12

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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.