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Finding the Fourth Proportional to 442,903.90, 664,355.85 and 162,384.70

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Solution

The fourth proportional to 442,903.90, 664,355.85 and 162,384.70 is: 243,577.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,903.90 : 664,355.85 = 162,384.70 : x
  2. Step 2: Convert to fraction form
    442,903.90/664,355.85 = 162,384.70/x
  3. Step 3: Cross multiply
    442,903.90x = 664,355.85 × 162,384.70
  4. Step 4: Simplify right side
    442,903.90x = 107,881,225,395.50
  5. Step 5: Solve for x
    x = 107,881,225,395.50/442,903.90
  6. Step 6: Final answer
    x = 243,577.05

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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.