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Finding the Fourth Proportional to 462,050.70, 693,197.55 and 146,507.10

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Solution

The fourth proportional to 462,050.70, 693,197.55 and 146,507.10 is: 219,799.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,050.70 : 693,197.55 = 146,507.10 : x
  2. Step 2: Convert to fraction form
    462,050.70/693,197.55 = 146,507.10/x
  3. Step 3: Cross multiply
    462,050.70x = 693,197.55 × 146,507.10
  4. Step 4: Simplify right side
    462,050.70x = 101,558,362,777.61
  5. Step 5: Solve for x
    x = 101,558,362,777.61/462,050.70
  6. Step 6: Final answer
    x = 219,799.18

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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.