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Finding the Fourth Proportional to 502,301.13, 753,457.92 and 147,322.47

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Solution

The fourth proportional to 502,301.13, 753,457.92 and 147,322.47 is: 220,985.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,301.13 : 753,457.92 = 147,322.47 : x
  2. Step 2: Convert to fraction form
    502,301.13/753,457.92 = 147,322.47/x
  3. Step 3: Cross multiply
    502,301.13x = 753,457.92 × 147,322.47
  4. Step 4: Simplify right side
    502,301.13x = 111,001,284,088.47
  5. Step 5: Solve for x
    x = 111,001,284,088.47/502,301.13
  6. Step 6: Final answer
    x = 220,985.54

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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.