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Finding the Fourth Proportional to 431,017.13, 594,223.88 and 301,781.76

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Solution

The fourth proportional to 431,017.13, 594,223.88 and 301,781.76 is: 416,052.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,017.13 : 594,223.88 = 301,781.76 : x
  2. Step 2: Convert to fraction form
    431,017.13/594,223.88 = 301,781.76/x
  3. Step 3: Cross multiply
    431,017.13x = 594,223.88 × 301,781.76
  4. Step 4: Simplify right side
    431,017.13x = 179,325,926,831.52
  5. Step 5: Solve for x
    x = 179,325,926,831.52/431,017.13
  6. Step 6: Final answer
    x = 416,052.90

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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.