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Finding the Fourth Proportional to 502,074.92, 753,112.37 and 147,088.94

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Solution

The fourth proportional to 502,074.92, 753,112.37 and 147,088.94 is: 220,633.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,074.92 : 753,112.37 = 147,088.94 : x
  2. Step 2: Convert to fraction form
    502,074.92/753,112.37 = 147,088.94/x
  3. Step 3: Cross multiply
    502,074.92x = 753,112.37 × 147,088.94
  4. Step 4: Simplify right side
    502,074.92x = 110,774,496,806.35
  5. Step 5: Solve for x
    x = 110,774,496,806.35/502,074.92
  6. Step 6: Final answer
    x = 220,633.40

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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.