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Finding the Fourth Proportional to 706,095.60, 974,634.84 and 451,447.80

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Solution

The fourth proportional to 706,095.60, 974,634.84 and 451,447.80 is: 623,140.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,095.60 : 974,634.84 = 451,447.80 : x
  2. Step 2: Convert to fraction form
    706,095.60/974,634.84 = 451,447.80/x
  3. Step 3: Cross multiply
    706,095.60x = 974,634.84 × 451,447.80
  4. Step 4: Simplify right side
    706,095.60x = 439,996,754,321.35
  5. Step 5: Solve for x
    x = 439,996,754,321.35/706,095.60
  6. Step 6: Final answer
    x = 623,140.48

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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.