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Finding the Fourth Proportional to 497,472.59, 746,201.93 and 283,784.46

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Solution

The fourth proportional to 497,472.59, 746,201.93 and 283,784.46 is: 425,672.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,472.59 : 746,201.93 = 283,784.46 : x
  2. Step 2: Convert to fraction form
    497,472.59/746,201.93 = 283,784.46/x
  3. Step 3: Cross multiply
    497,472.59x = 746,201.93 × 283,784.46
  4. Step 4: Simplify right side
    497,472.59x = 211,760,510,337.09
  5. Step 5: Solve for x
    x = 211,760,510,337.09/497,472.59
  6. Step 6: Final answer
    x = 425,672.72

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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.