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Finding the Fourth Proportional to 442,877.40, 664,316.10 and 301,159.80

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Solution

The fourth proportional to 442,877.40, 664,316.10 and 301,159.80 is: 451,739.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,877.40 : 664,316.10 = 301,159.80 : x
  2. Step 2: Convert to fraction form
    442,877.40/664,316.10 = 301,159.80/x
  3. Step 3: Cross multiply
    442,877.40x = 664,316.10 × 301,159.80
  4. Step 4: Simplify right side
    442,877.40x = 200,065,303,812.78
  5. Step 5: Solve for x
    x = 200,065,303,812.78/442,877.40
  6. Step 6: Final answer
    x = 451,739.70

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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.