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Finding the Fourth Proportional to 458,957.07, 688,705.29 and 192,697.11

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Solution

The fourth proportional to 458,957.07, 688,705.29 and 192,697.11 is: 289,158.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,957.07 : 688,705.29 = 192,697.11 : x
  2. Step 2: Convert to fraction form
    458,957.07/688,705.29 = 192,697.11/x
  3. Step 3: Cross multiply
    458,957.07x = 688,705.29 × 192,697.11
  4. Step 4: Simplify right side
    458,957.07x = 132,711,519,024.71
  5. Step 5: Solve for x
    x = 132,711,519,024.71/458,957.07
  6. Step 6: Final answer
    x = 289,158.89

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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.