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Finding the Fourth Proportional to 498,245.60, 687,594 and 283,416.32

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Solution

The fourth proportional to 498,245.60, 687,594 and 283,416.32 is: 391,123.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,245.60 : 687,594 = 283,416.32 : x
  2. Step 2: Convert to fraction form
    498,245.60/687,594 = 283,416.32/x
  3. Step 3: Cross multiply
    498,245.60x = 687,594 × 283,416.32
  4. Step 4: Simplify right side
    498,245.60x = 194,875,361,134.08
  5. Step 5: Solve for x
    x = 194,875,361,134.08/498,245.60
  6. Step 6: Final answer
    x = 391,123.09

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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.