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Finding the Fourth Proportional to 610,536, 842,539.68 and 342,264

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Solution

The fourth proportional to 610,536, 842,539.68 and 342,264 is: 472,324.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,536 : 842,539.68 = 342,264 : x
  2. Step 2: Convert to fraction form
    610,536/842,539.68 = 342,264/x
  3. Step 3: Cross multiply
    610,536x = 842,539.68 × 342,264
  4. Step 4: Simplify right side
    610,536x = 288,371,001,035.52
  5. Step 5: Solve for x
    x = 288,371,001,035.52/610,536
  6. Step 6: Final answer
    x = 472,324.32

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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.