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Finding the Fourth Proportional to 462,332.64, 693,302.04 and 181,653

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Solution

The fourth proportional to 462,332.64, 693,302.04 and 181,653 is: 272,402.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,332.64 : 693,302.04 = 181,653 : x
  2. Step 2: Convert to fraction form
    462,332.64/693,302.04 = 181,653/x
  3. Step 3: Cross multiply
    462,332.64x = 693,302.04 × 181,653
  4. Step 4: Simplify right side
    462,332.64x = 125,940,395,472.12
  5. Step 5: Solve for x
    x = 125,940,395,472.12/462,332.64
  6. Step 6: Final answer
    x = 272,402.13

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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.