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Finding the Fourth Proportional to 614,084.80, 921,256.80 and 193,403.20

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Solution

The fourth proportional to 614,084.80, 921,256.80 and 193,403.20 is: 290,145.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,084.80 : 921,256.80 = 193,403.20 : x
  2. Step 2: Convert to fraction form
    614,084.80/921,256.80 = 193,403.20/x
  3. Step 3: Cross multiply
    614,084.80x = 921,256.80 × 193,403.20
  4. Step 4: Simplify right side
    614,084.80x = 178,174,013,141.76
  5. Step 5: Solve for x
    x = 178,174,013,141.76/614,084.80
  6. Step 6: Final answer
    x = 290,145.62

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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.