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Finding the Fourth Proportional to 461,663.73, 692,426.16 and 146,079.63

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Solution

The fourth proportional to 461,663.73, 692,426.16 and 146,079.63 is: 219,097.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,663.73 : 692,426.16 = 146,079.63 : x
  2. Step 2: Convert to fraction form
    461,663.73/692,426.16 = 146,079.63/x
  3. Step 3: Cross multiply
    461,663.73x = 692,426.16 × 146,079.63
  4. Step 4: Simplify right side
    461,663.73x = 101,149,357,255.12
  5. Step 5: Solve for x
    x = 101,149,357,255.12/461,663.73
  6. Step 6: Final answer
    x = 219,097.47

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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.