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Finding the Fourth Proportional to 461,607.60, 692,342.10 and 146,023.50

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Solution

The fourth proportional to 461,607.60, 692,342.10 and 146,023.50 is: 219,013.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,607.60 : 692,342.10 = 146,023.50 : x
  2. Step 2: Convert to fraction form
    461,607.60/692,342.10 = 146,023.50/x
  3. Step 3: Cross multiply
    461,607.60x = 692,342.10 × 146,023.50
  4. Step 4: Simplify right side
    461,607.60x = 101,098,216,639.35
  5. Step 5: Solve for x
    x = 101,098,216,639.35/461,607.60
  6. Step 6: Final answer
    x = 219,013.33

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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.