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Finding the Fourth Proportional to 562,902.96, 844,358.76 and 163,570.80

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Solution

The fourth proportional to 562,902.96, 844,358.76 and 163,570.80 is: 245,357.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,902.96 : 844,358.76 = 163,570.80 : x
  2. Step 2: Convert to fraction form
    562,902.96/844,358.76 = 163,570.80/x
  3. Step 3: Cross multiply
    562,902.96x = 844,358.76 × 163,570.80
  4. Step 4: Simplify right side
    562,902.96x = 138,112,437,860.21
  5. Step 5: Solve for x
    x = 138,112,437,860.21/562,902.96
  6. Step 6: Final answer
    x = 245,357.46

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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.