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Finding the Fourth Proportional to 471,290.70, 706,158.45 and 401,306.70

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Solution

The fourth proportional to 471,290.70, 706,158.45 and 401,306.70 is: 601,297.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,290.70 : 706,158.45 = 401,306.70 : x
  2. Step 2: Convert to fraction form
    471,290.70/706,158.45 = 401,306.70/x
  3. Step 3: Cross multiply
    471,290.70x = 706,158.45 × 401,306.70
  4. Step 4: Simplify right side
    471,290.70x = 283,386,117,246.62
  5. Step 5: Solve for x
    x = 283,386,117,246.62/471,290.70
  6. Step 6: Final answer
    x = 601,297.92

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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.