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Finding the Fourth Proportional to 442,695.34, 663,648.50 and 162,146.98

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Solution

The fourth proportional to 442,695.34, 663,648.50 and 162,146.98 is: 243,075.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,695.34 : 663,648.50 = 162,146.98 : x
  2. Step 2: Convert to fraction form
    442,695.34/663,648.50 = 162,146.98/x
  3. Step 3: Cross multiply
    442,695.34x = 663,648.50 × 162,146.98
  4. Step 4: Simplify right side
    442,695.34x = 107,608,600,056.53
  5. Step 5: Solve for x
    x = 107,608,600,056.53/442,695.34
  6. Step 6: Final answer
    x = 243,075.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.