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Finding the Fourth Proportional to 399,223.80, 598,904.82 and 162,695.16

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Solution

The fourth proportional to 399,223.80, 598,904.82 and 162,695.16 is: 244,070.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,223.80 : 598,904.82 = 162,695.16 : x
  2. Step 2: Convert to fraction form
    399,223.80/598,904.82 = 162,695.16/x
  3. Step 3: Cross multiply
    399,223.80x = 598,904.82 × 162,695.16
  4. Step 4: Simplify right side
    399,223.80x = 97,438,915,514.67
  5. Step 5: Solve for x
    x = 97,438,915,514.67/399,223.80
  6. Step 6: Final answer
    x = 244,070.91

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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.