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Finding the Fourth Proportional to 469,332.12, 703,765.04 and 149,442.23

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Solution

The fourth proportional to 469,332.12, 703,765.04 and 149,442.23 is: 224,089.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,332.12 : 703,765.04 = 149,442.23 : x
  2. Step 2: Convert to fraction form
    469,332.12/703,765.04 = 149,442.23/x
  3. Step 3: Cross multiply
    469,332.12x = 703,765.04 × 149,442.23
  4. Step 4: Simplify right side
    469,332.12x = 105,172,218,826.45
  5. Step 5: Solve for x
    x = 105,172,218,826.45/469,332.12
  6. Step 6: Final answer
    x = 224,089.11

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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.