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Finding the Fourth Proportional to 657,315, 986,319.64 and 466,422.92

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Solution

The fourth proportional to 657,315, 986,319.64 and 466,422.92 is: 699,880.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,315 : 986,319.64 = 466,422.92 : x
  2. Step 2: Convert to fraction form
    657,315/986,319.64 = 466,422.92/x
  3. Step 3: Cross multiply
    657,315x = 986,319.64 × 466,422.92
  4. Step 4: Simplify right side
    657,315x = 460,042,086,542.15
  5. Step 5: Solve for x
    x = 460,042,086,542.15/657,315
  6. Step 6: Final answer
    x = 699,880.71

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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.