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Finding the Fourth Proportional to 614,902.16, 922,276.92 and 165,658.16

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Solution

The fourth proportional to 614,902.16, 922,276.92 and 165,658.16 is: 248,466.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,902.16 : 922,276.92 = 165,658.16 : x
  2. Step 2: Convert to fraction form
    614,902.16/922,276.92 = 165,658.16/x
  3. Step 3: Cross multiply
    614,902.16x = 922,276.92 × 165,658.16
  4. Step 4: Simplify right side
    614,902.16x = 152,782,697,577.67
  5. Step 5: Solve for x
    x = 152,782,697,577.67/614,902.16
  6. Step 6: Final answer
    x = 248,466.68

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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.