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Finding the Fourth Proportional to 522,044.10, 781,316.55 and 522,044.10

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Solution

The fourth proportional to 522,044.10, 781,316.55 and 522,044.10 is: 781,316.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,044.10 : 781,316.55 = 522,044.10 : x
  2. Step 2: Convert to fraction form
    522,044.10/781,316.55 = 522,044.10/x
  3. Step 3: Cross multiply
    522,044.10x = 781,316.55 × 522,044.10
  4. Step 4: Simplify right side
    522,044.10x = 407,881,695,159.86
  5. Step 5: Solve for x
    x = 407,881,695,159.86/522,044.10
  6. Step 6: Final answer
    x = 781,316.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.