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Finding the Fourth Proportional to 614,224.56, 847,340.16 and 359,418

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Solution

The fourth proportional to 614,224.56, 847,340.16 and 359,418 is: 495,827.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,224.56 : 847,340.16 = 359,418 : x
  2. Step 2: Convert to fraction form
    614,224.56/847,340.16 = 359,418/x
  3. Step 3: Cross multiply
    614,224.56x = 847,340.16 × 359,418
  4. Step 4: Simplify right side
    614,224.56x = 304,549,305,626.88
  5. Step 5: Solve for x
    x = 304,549,305,626.88/614,224.56
  6. Step 6: Final answer
    x = 495,827.30

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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.