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Finding the Fourth Proportional to 532,166.42, 798,354.79 and 195,210.20

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Solution

The fourth proportional to 532,166.42, 798,354.79 and 195,210.20 is: 292,853.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,166.42 : 798,354.79 = 195,210.20 : x
  2. Step 2: Convert to fraction form
    532,166.42/798,354.79 = 195,210.20/x
  3. Step 3: Cross multiply
    532,166.42x = 798,354.79 × 195,210.20
  4. Step 4: Simplify right side
    532,166.42x = 155,846,999,734.72
  5. Step 5: Solve for x
    x = 155,846,999,734.72/532,166.42
  6. Step 6: Final answer
    x = 292,853.88

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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.