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Finding the Fourth Proportional to 706,458.29, 974,938.03 and 404,710.61

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Solution

The fourth proportional to 706,458.29, 974,938.03 and 404,710.61 is: 558,515.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,458.29 : 974,938.03 = 404,710.61 : x
  2. Step 2: Convert to fraction form
    706,458.29/974,938.03 = 404,710.61/x
  3. Step 3: Cross multiply
    706,458.29x = 974,938.03 × 404,710.61
  4. Step 4: Simplify right side
    706,458.29x = 394,567,758,947.03
  5. Step 5: Solve for x
    x = 394,567,758,947.03/706,458.29
  6. Step 6: Final answer
    x = 558,515.30

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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.