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Finding the Fourth Proportional to 469,901.07, 648,463.80 and 255,041.14

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Solution

The fourth proportional to 469,901.07, 648,463.80 and 255,041.14 is: 351,956.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,901.07 : 648,463.80 = 255,041.14 : x
  2. Step 2: Convert to fraction form
    469,901.07/648,463.80 = 255,041.14/x
  3. Step 3: Cross multiply
    469,901.07x = 648,463.80 × 255,041.14
  4. Step 4: Simplify right side
    469,901.07x = 165,384,946,800.73
  5. Step 5: Solve for x
    x = 165,384,946,800.73/469,901.07
  6. Step 6: Final answer
    x = 351,956.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.