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Finding the Fourth Proportional to 705,534.80, 974,042.00 and 464,517.95

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Solution

The fourth proportional to 705,534.80, 974,042.00 and 464,517.95 is: 641,300.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,534.80 : 974,042.00 = 464,517.95 : x
  2. Step 2: Convert to fraction form
    705,534.80/974,042.00 = 464,517.95/x
  3. Step 3: Cross multiply
    705,534.80x = 974,042.00 × 464,517.95
  4. Step 4: Simplify right side
    705,534.80x = 452,459,985,861.10
  5. Step 5: Solve for x
    x = 452,459,985,861.10/705,534.80
  6. Step 6: Final answer
    x = 641,300.74

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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.