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Finding the Fourth Proportional to 398,416.80, 596,944.80 and 187,622.40

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Solution

The fourth proportional to 398,416.80, 596,944.80 and 187,622.40 is: 281,113.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,416.80 : 596,944.80 = 187,622.40 : x
  2. Step 2: Convert to fraction form
    398,416.80/596,944.80 = 187,622.40/x
  3. Step 3: Cross multiply
    398,416.80x = 596,944.80 × 187,622.40
  4. Step 4: Simplify right side
    398,416.80x = 112,000,216,043.52
  5. Step 5: Solve for x
    x = 112,000,216,043.52/398,416.80
  6. Step 6: Final answer
    x = 281,113.19

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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.