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Finding the Fourth Proportional to 461,778.92, 692,670.30 and 146,457.32

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Solution

The fourth proportional to 461,778.92, 692,670.30 and 146,457.32 is: 219,686.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,778.92 : 692,670.30 = 146,457.32 : x
  2. Step 2: Convert to fraction form
    461,778.92/692,670.30 = 146,457.32/x
  3. Step 3: Cross multiply
    461,778.92x = 692,670.30 × 146,457.32
  4. Step 4: Simplify right side
    461,778.92x = 101,446,635,781.60
  5. Step 5: Solve for x
    x = 101,446,635,781.60/461,778.92
  6. Step 6: Final answer
    x = 219,686.59

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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.