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Finding the Fourth Proportional to 442,897.40, 664,346.10 and 162,378.20

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Solution

The fourth proportional to 442,897.40, 664,346.10 and 162,378.20 is: 243,567.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,897.40 : 664,346.10 = 162,378.20 : x
  2. Step 2: Convert to fraction form
    442,897.40/664,346.10 = 162,378.20/x
  3. Step 3: Cross multiply
    442,897.40x = 664,346.10 × 162,378.20
  4. Step 4: Simplify right side
    442,897.40x = 107,875,323,895.02
  5. Step 5: Solve for x
    x = 107,875,323,895.02/442,897.40
  6. Step 6: Final answer
    x = 243,567.30

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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.