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Finding the Fourth Proportional to 471,428.20, 706,364.70 and 401,444.20

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Solution

The fourth proportional to 471,428.20, 706,364.70 and 401,444.20 is: 601,504.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,428.20 : 706,364.70 = 401,444.20 : x
  2. Step 2: Convert to fraction form
    471,428.20/706,364.70 = 401,444.20/x
  3. Step 3: Cross multiply
    471,428.20x = 706,364.70 × 401,444.20
  4. Step 4: Simplify right side
    471,428.20x = 283,566,011,899.74
  5. Step 5: Solve for x
    x = 283,566,011,899.74/471,428.20
  6. Step 6: Final answer
    x = 601,504.14

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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.