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Finding the Fourth Proportional to 614,292.64, 847,434 and 359,486.08

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Solution

The fourth proportional to 614,292.64, 847,434 and 359,486.08 is: 495,921.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,292.64 : 847,434 = 359,486.08 : x
  2. Step 2: Convert to fraction form
    614,292.64/847,434 = 359,486.08/x
  3. Step 3: Cross multiply
    614,292.64x = 847,434 × 359,486.08
  4. Step 4: Simplify right side
    614,292.64x = 304,640,726,718.72
  5. Step 5: Solve for x
    x = 304,640,726,718.72/614,292.64
  6. Step 6: Final answer
    x = 495,921.17

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1.5x scale

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.