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Finding the Fourth Proportional to 283,434.80, 424,779.96 and 133,471.76

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Solution

The fourth proportional to 283,434.80, 424,779.96 and 133,471.76 is: 200,032.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,434.80 : 424,779.96 = 133,471.76 : x
  2. Step 2: Convert to fraction form
    283,434.80/424,779.96 = 133,471.76/x
  3. Step 3: Cross multiply
    283,434.80x = 424,779.96 × 133,471.76
  4. Step 4: Simplify right side
    283,434.80x = 56,696,128,873.93
  5. Step 5: Solve for x
    x = 56,696,128,873.93/283,434.80
  6. Step 6: Final answer
    x = 200,032.35

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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.