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Finding the Fourth Proportional to 461,777.10, 692,730.45 and 146,201.10

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Solution

The fourth proportional to 461,777.10, 692,730.45 and 146,201.10 is: 219,322.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,777.10 : 692,730.45 = 146,201.10 : x
  2. Step 2: Convert to fraction form
    461,777.10/692,730.45 = 146,201.10/x
  3. Step 3: Cross multiply
    461,777.10x = 692,730.45 × 146,201.10
  4. Step 4: Simplify right side
    461,777.10x = 101,277,953,793.50
  5. Step 5: Solve for x
    x = 101,277,953,793.50/461,777.10
  6. Step 6: Final answer
    x = 219,322.17

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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.