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Finding the Fourth Proportional to 456,925.80, 684,902.70 and 220,114.20

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Solution

The fourth proportional to 456,925.80, 684,902.70 and 220,114.20 is: 329,937.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,925.80 : 684,902.70 = 220,114.20 : x
  2. Step 2: Convert to fraction form
    456,925.80/684,902.70 = 220,114.20/x
  3. Step 3: Cross multiply
    456,925.80x = 684,902.70 × 220,114.20
  4. Step 4: Simplify right side
    456,925.80x = 150,756,809,888.34
  5. Step 5: Solve for x
    x = 150,756,809,888.34/456,925.80
  6. Step 6: Final answer
    x = 329,937.18

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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.