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Finding the Fourth Proportional to 563,609.80, 845,447.10 and 164,312.20

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Solution

The fourth proportional to 563,609.80, 845,447.10 and 164,312.20 is: 246,477.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,609.80 : 845,447.10 = 164,312.20 : x
  2. Step 2: Convert to fraction form
    563,609.80/845,447.10 = 164,312.20/x
  3. Step 3: Cross multiply
    563,609.80x = 845,447.10 × 164,312.20
  4. Step 4: Simplify right side
    563,609.80x = 138,917,272,984.62
  5. Step 5: Solve for x
    x = 138,917,272,984.62/563,609.80
  6. Step 6: Final answer
    x = 246,477.75

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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.