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Finding the Fourth Proportional to 390,139.50, 538,436.34 and 220,384.56

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Solution

The fourth proportional to 390,139.50, 538,436.34 and 220,384.56 is: 304,155.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,139.50 : 538,436.34 = 220,384.56 : x
  2. Step 2: Convert to fraction form
    390,139.50/538,436.34 = 220,384.56/x
  3. Step 3: Cross multiply
    390,139.50x = 538,436.34 × 220,384.56
  4. Step 4: Simplify right side
    390,139.50x = 118,663,055,878.91
  5. Step 5: Solve for x
    x = 118,663,055,878.91/390,139.50
  6. Step 6: Final answer
    x = 304,155.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.