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Finding the Fourth Proportional to 450,139.12, 675,011.76 and 213,549.28

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Solution

The fourth proportional to 450,139.12, 675,011.76 and 213,549.28 is: 320,230.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,139.12 : 675,011.76 = 213,549.28 : x
  2. Step 2: Convert to fraction form
    450,139.12/675,011.76 = 213,549.28/x
  3. Step 3: Cross multiply
    450,139.12x = 675,011.76 × 213,549.28
  4. Step 4: Simplify right side
    450,139.12x = 144,148,275,339.53
  5. Step 5: Solve for x
    x = 144,148,275,339.53/450,139.12
  6. Step 6: Final answer
    x = 320,230.50

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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.