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Finding the Fourth Proportional to 461,978.15, 692,992.06 and 146,459.66

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Solution

The fourth proportional to 461,978.15, 692,992.06 and 146,459.66 is: 219,697.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,978.15 : 692,992.06 = 146,459.66 : x
  2. Step 2: Convert to fraction form
    461,978.15/692,992.06 = 146,459.66/x
  3. Step 3: Cross multiply
    461,978.15x = 692,992.06 × 146,459.66
  4. Step 4: Simplify right side
    461,978.15x = 101,495,381,490.30
  5. Step 5: Solve for x
    x = 101,495,381,490.30/461,978.15
  6. Step 6: Final answer
    x = 219,697.36

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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.