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Finding the Fourth Proportional to 358,769.76, 538,220.75 and 148,424.10

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Solution

The fourth proportional to 358,769.76, 538,220.75 and 148,424.10 is: 222,663.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,769.76 : 538,220.75 = 148,424.10 : x
  2. Step 2: Convert to fraction form
    358,769.76/538,220.75 = 148,424.10/x
  3. Step 3: Cross multiply
    358,769.76x = 538,220.75 × 148,424.10
  4. Step 4: Simplify right side
    358,769.76x = 79,884,929,677.95
  5. Step 5: Solve for x
    x = 79,884,929,677.95/358,769.76
  6. Step 6: Final answer
    x = 222,663.50

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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.