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Finding the Fourth Proportional to 460,773.80, 690,686.76 and 176,397.40

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Solution

The fourth proportional to 460,773.80, 690,686.76 and 176,397.40 is: 264,414.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,773.80 : 690,686.76 = 176,397.40 : x
  2. Step 2: Convert to fraction form
    460,773.80/690,686.76 = 176,397.40/x
  3. Step 3: Cross multiply
    460,773.80x = 690,686.76 × 176,397.40
  4. Step 4: Simplify right side
    460,773.80x = 121,835,348,678.42
  5. Step 5: Solve for x
    x = 121,835,348,678.42/460,773.80
  6. Step 6: Final answer
    x = 264,414.66

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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.