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Finding the Fourth Proportional to 338,802.38, 508,250.50 and 114,227.10

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Solution

The fourth proportional to 338,802.38, 508,250.50 and 114,227.10 is: 171,356.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,802.38 : 508,250.50 = 114,227.10 : x
  2. Step 2: Convert to fraction form
    338,802.38/508,250.50 = 114,227.10/x
  3. Step 3: Cross multiply
    338,802.38x = 508,250.50 × 114,227.10
  4. Step 4: Simplify right side
    338,802.38x = 58,055,980,688.55
  5. Step 5: Solve for x
    x = 58,055,980,688.55/338,802.38
  6. Step 6: Final answer
    x = 171,356.47

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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.