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Finding the Fourth Proportional to 338,937.54, 508,419.54 and 102,280.26

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Solution

The fourth proportional to 338,937.54, 508,419.54 and 102,280.26 is: 153,424.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,937.54 : 508,419.54 = 102,280.26 : x
  2. Step 2: Convert to fraction form
    338,937.54/508,419.54 = 102,280.26/x
  3. Step 3: Cross multiply
    338,937.54x = 508,419.54 × 102,280.26
  4. Step 4: Simplify right side
    338,937.54x = 52,001,282,740.28
  5. Step 5: Solve for x
    x = 52,001,282,740.28/338,937.54
  6. Step 6: Final answer
    x = 153,424.38

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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.