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Finding the Fourth Proportional to 282,897.92, 424,346.88 and 134,704.64

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Solution

The fourth proportional to 282,897.92, 424,346.88 and 134,704.64 is: 202,056.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,897.92 : 424,346.88 = 134,704.64 : x
  2. Step 2: Convert to fraction form
    282,897.92/424,346.88 = 134,704.64/x
  3. Step 3: Cross multiply
    282,897.92x = 424,346.88 × 134,704.64
  4. Step 4: Simplify right side
    282,897.92x = 57,161,493,705.52
  5. Step 5: Solve for x
    x = 57,161,493,705.52/282,897.92
  6. Step 6: Final answer
    x = 202,056.96

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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.