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Finding the Fourth Proportional to 402,263.92, 603,473.68 and 152,926.48

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Solution

The fourth proportional to 402,263.92, 603,473.68 and 152,926.48 is: 229,419.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,263.92 : 603,473.68 = 152,926.48 : x
  2. Step 2: Convert to fraction form
    402,263.92/603,473.68 = 152,926.48/x
  3. Step 3: Cross multiply
    402,263.92x = 603,473.68 × 152,926.48
  4. Step 4: Simplify right side
    402,263.92x = 92,287,105,655.05
  5. Step 5: Solve for x
    x = 92,287,105,655.05/402,263.92
  6. Step 6: Final answer
    x = 229,419.30

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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.