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Finding the Fourth Proportional to 758,688.62, 1,046,978.07 and 414,517.15

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Solution

The fourth proportional to 758,688.62, 1,046,978.07 and 414,517.15 is: 572,026.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    758,688.62 : 1,046,978.07 = 414,517.15 : x
  2. Step 2: Convert to fraction form
    758,688.62/1,046,978.07 = 414,517.15/x
  3. Step 3: Cross multiply
    758,688.62x = 1,046,978.07 × 414,517.15
  4. Step 4: Simplify right side
    758,688.62x = 433,990,365,688.90
  5. Step 5: Solve for x
    x = 433,990,365,688.90/758,688.62
  6. Step 6: Final answer
    x = 572,026.99

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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.