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Finding the Fourth Proportional to 502,368.12, 753,541.92 and 147,374.28

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Solution

The fourth proportional to 502,368.12, 753,541.92 and 147,374.28 is: 221,058.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,368.12 : 753,541.92 = 147,374.28 : x
  2. Step 2: Convert to fraction form
    502,368.12/753,541.92 = 147,374.28/x
  3. Step 3: Cross multiply
    502,368.12x = 753,541.92 × 147,374.28
  4. Step 4: Simplify right side
    502,368.12x = 111,052,697,909.82
  5. Step 5: Solve for x
    x = 111,052,697,909.82/502,368.12
  6. Step 6: Final answer
    x = 221,058.41

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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.