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Finding the Fourth Proportional to 459,169.68, 688,761.50 and 174,875.95

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Solution

The fourth proportional to 459,169.68, 688,761.50 and 174,875.95 is: 262,316.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,169.68 : 688,761.50 = 174,875.95 : x
  2. Step 2: Convert to fraction form
    459,169.68/688,761.50 = 174,875.95/x
  3. Step 3: Cross multiply
    459,169.68x = 688,761.50 × 174,875.95
  4. Step 4: Simplify right side
    459,169.68x = 120,447,821,635.93
  5. Step 5: Solve for x
    x = 120,447,821,635.93/459,169.68
  6. Step 6: Final answer
    x = 262,316.58

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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.