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Finding the Fourth Proportional to 442,933.40, 664,400.10 and 425,437.40

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Solution

The fourth proportional to 442,933.40, 664,400.10 and 425,437.40 is: 638,156.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,933.40 : 664,400.10 = 425,437.40 : x
  2. Step 2: Convert to fraction form
    442,933.40/664,400.10 = 425,437.40/x
  3. Step 3: Cross multiply
    442,933.40x = 664,400.10 × 425,437.40
  4. Step 4: Simplify right side
    442,933.40x = 282,660,651,103.74
  5. Step 5: Solve for x
    x = 282,660,651,103.74/442,933.40
  6. Step 6: Final answer
    x = 638,156.10

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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.