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Finding the Fourth Proportional to 459,053.85, 688,580.78 and 459,053.85

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Solution

The fourth proportional to 459,053.85, 688,580.78 and 459,053.85 is: 688,580.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,053.85 : 688,580.78 = 459,053.85 : x
  2. Step 2: Convert to fraction form
    459,053.85/688,580.78 = 459,053.85/x
  3. Step 3: Cross multiply
    459,053.85x = 688,580.78 × 459,053.85
  4. Step 4: Simplify right side
    459,053.85x = 316,095,655,799.73
  5. Step 5: Solve for x
    x = 316,095,655,799.73/459,053.85
  6. Step 6: Final answer
    x = 688,580.78

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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.