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Finding the Fourth Proportional to 471,256.20, 706,106.70 and 401,272.20

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Solution

The fourth proportional to 471,256.20, 706,106.70 and 401,272.20 is: 601,246.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,256.20 : 706,106.70 = 401,272.20 : x
  2. Step 2: Convert to fraction form
    471,256.20/706,106.70 = 401,272.20/x
  3. Step 3: Cross multiply
    471,256.20x = 706,106.70 × 401,272.20
  4. Step 4: Simplify right side
    471,256.20x = 283,340,988,943.74
  5. Step 5: Solve for x
    x = 283,340,988,943.74/471,256.20
  6. Step 6: Final answer
    x = 601,246.18

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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.