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Finding the Fourth Proportional to 595,726.78, 822,099.10 and 341,127.17

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Solution

The fourth proportional to 595,726.78, 822,099.10 and 341,127.17 is: 470,753.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,726.78 : 822,099.10 = 341,127.17 : x
  2. Step 2: Convert to fraction form
    595,726.78/822,099.10 = 341,127.17/x
  3. Step 3: Cross multiply
    595,726.78x = 822,099.10 × 341,127.17
  4. Step 4: Simplify right side
    595,726.78x = 280,440,339,442.55
  5. Step 5: Solve for x
    x = 280,440,339,442.55/595,726.78
  6. Step 6: Final answer
    x = 470,753.29

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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.