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Finding the Fourth Proportional to 286,407.41, 429,732.61 and 153,253.13

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Solution

The fourth proportional to 286,407.41, 429,732.61 and 153,253.13 is: 229,944.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,407.41 : 429,732.61 = 153,253.13 : x
  2. Step 2: Convert to fraction form
    286,407.41/429,732.61 = 153,253.13/x
  3. Step 3: Cross multiply
    286,407.41x = 429,732.61 × 153,253.13
  4. Step 4: Simplify right side
    286,407.41x = 65,857,865,013.77
  5. Step 5: Solve for x
    x = 65,857,865,013.77/286,407.41
  6. Step 6: Final answer
    x = 229,944.70

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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.