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Finding the Fourth Proportional to 461,610.10, 692,345.85 and 146,026

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Solution

The fourth proportional to 461,610.10, 692,345.85 and 146,026 is: 219,017.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,610.10 : 692,345.85 = 146,026 : x
  2. Step 2: Convert to fraction form
    461,610.10/692,345.85 = 146,026/x
  3. Step 3: Cross multiply
    461,610.10x = 692,345.85 × 146,026
  4. Step 4: Simplify right side
    461,610.10x = 101,100,495,092.10
  5. Step 5: Solve for x
    x = 101,100,495,092.10/461,610.10
  6. Step 6: Final answer
    x = 219,017.08

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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.