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Finding the Fourth Proportional to 458,622.95, 688,205.07 and 174,552.65

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Solution

The fourth proportional to 458,622.95, 688,205.07 and 174,552.65 is: 261,931.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,622.95 : 688,205.07 = 174,552.65 : x
  2. Step 2: Convert to fraction form
    458,622.95/688,205.07 = 174,552.65/x
  3. Step 3: Cross multiply
    458,622.95x = 688,205.07 × 174,552.65
  4. Step 4: Simplify right side
    458,622.95x = 120,128,015,270.91
  5. Step 5: Solve for x
    x = 120,128,015,270.91/458,622.95
  6. Step 6: Final answer
    x = 261,931.97

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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.