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Finding the Fourth Proportional to 283,642.30, 425,463.45 and 260,022.70

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Solution

The fourth proportional to 283,642.30, 425,463.45 and 260,022.70 is: 390,034.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,642.30 : 425,463.45 = 260,022.70 : x
  2. Step 2: Convert to fraction form
    283,642.30/425,463.45 = 260,022.70/x
  3. Step 3: Cross multiply
    283,642.30x = 425,463.45 × 260,022.70
  4. Step 4: Simplify right side
    283,642.30x = 110,630,155,020.32
  5. Step 5: Solve for x
    x = 110,630,155,020.32/283,642.30
  6. Step 6: Final answer
    x = 390,034.05

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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.