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Finding the Fourth Proportional to 562,281.80, 843,422.02 and 141,557.68

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Solution

The fourth proportional to 562,281.80, 843,422.02 and 141,557.68 is: 212,336.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,281.80 : 843,422.02 = 141,557.68 : x
  2. Step 2: Convert to fraction form
    562,281.80/843,422.02 = 141,557.68/x
  3. Step 3: Cross multiply
    562,281.80x = 843,422.02 × 141,557.68
  4. Step 4: Simplify right side
    562,281.80x = 119,392,860,368.25
  5. Step 5: Solve for x
    x = 119,392,860,368.25/562,281.80
  6. Step 6: Final answer
    x = 212,336.34

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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.