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Finding the Fourth Proportional to 460,243.52, 690,473.94 and 144,700.43

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Solution

The fourth proportional to 460,243.52, 690,473.94 and 144,700.43 is: 217,084.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,243.52 : 690,473.94 = 144,700.43 : x
  2. Step 2: Convert to fraction form
    460,243.52/690,473.94 = 144,700.43/x
  3. Step 3: Cross multiply
    460,243.52x = 690,473.94 × 144,700.43
  4. Step 4: Simplify right side
    460,243.52x = 99,911,872,026.80
  5. Step 5: Solve for x
    x = 99,911,872,026.80/460,243.52
  6. Step 6: Final answer
    x = 217,084.80

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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.