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Finding the Fourth Proportional to 497,951.58, 687,231.27 and 283,123.83

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Solution

The fourth proportional to 497,951.58, 687,231.27 and 283,123.83 is: 390,743.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,951.58 : 687,231.27 = 283,123.83 : x
  2. Step 2: Convert to fraction form
    497,951.58/687,231.27 = 283,123.83/x
  3. Step 3: Cross multiply
    497,951.58x = 687,231.27 × 283,123.83
  4. Step 4: Simplify right side
    497,951.58x = 194,571,549,258.16
  5. Step 5: Solve for x
    x = 194,571,549,258.16/497,951.58
  6. Step 6: Final answer
    x = 390,743.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.