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Finding the Fourth Proportional to 670,733.52, 926,037 and 416,354.64

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Solution

The fourth proportional to 670,733.52, 926,037 and 416,354.64 is: 574,833.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    670,733.52 : 926,037 = 416,354.64 : x
  2. Step 2: Convert to fraction form
    670,733.52/926,037 = 416,354.64/x
  3. Step 3: Cross multiply
    670,733.52x = 926,037 × 416,354.64
  4. Step 4: Simplify right side
    670,733.52x = 385,559,801,761.68
  5. Step 5: Solve for x
    x = 385,559,801,761.68/670,733.52
  6. Step 6: Final answer
    x = 574,833.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.