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Finding the Fourth Proportional to 460,514.73, 690,531.51 and 144,886.89

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Solution

The fourth proportional to 460,514.73, 690,531.51 and 144,886.89 is: 217,254.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,514.73 : 690,531.51 = 144,886.89 : x
  2. Step 2: Convert to fraction form
    460,514.73/690,531.51 = 144,886.89/x
  3. Step 3: Cross multiply
    460,514.73x = 690,531.51 × 144,886.89
  4. Step 4: Simplify right side
    460,514.73x = 100,048,962,930.90
  5. Step 5: Solve for x
    x = 100,048,962,930.90/460,514.73
  6. Step 6: Final answer
    x = 217,254.64

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1.5x scale

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.