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Finding the Fourth Proportional to 458,592.53, 688,156.70 and 192,330.74

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Solution

The fourth proportional to 458,592.53, 688,156.70 and 192,330.74 is: 288,608.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,592.53 : 688,156.70 = 192,330.74 : x
  2. Step 2: Convert to fraction form
    458,592.53/688,156.70 = 192,330.74/x
  3. Step 3: Cross multiply
    458,592.53x = 688,156.70 × 192,330.74
  4. Step 4: Simplify right side
    458,592.53x = 132,353,688,105.70
  5. Step 5: Solve for x
    x = 132,353,688,105.70/458,592.53
  6. Step 6: Final answer
    x = 288,608.47

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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.