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Finding the Fourth Proportional to 402,684.52, 604,304.08 and 166,027.20

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Solution

The fourth proportional to 402,684.52, 604,304.08 and 166,027.20 is: 249,155.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,684.52 : 604,304.08 = 166,027.20 : x
  2. Step 2: Convert to fraction form
    402,684.52/604,304.08 = 166,027.20/x
  3. Step 3: Cross multiply
    402,684.52x = 604,304.08 × 166,027.20
  4. Step 4: Simplify right side
    402,684.52x = 100,330,913,935.91
  5. Step 5: Solve for x
    x = 100,330,913,935.91/402,684.52
  6. Step 6: Final answer
    x = 249,155.13

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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.