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Finding the Fourth Proportional to 803,546.64, 1,205,281 and 298,206.13

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Solution

The fourth proportional to 803,546.64, 1,205,281 and 298,206.13 is: 447,294.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    803,546.64 : 1,205,281 = 298,206.13 : x
  2. Step 2: Convert to fraction form
    803,546.64/1,205,281 = 298,206.13/x
  3. Step 3: Cross multiply
    803,546.64x = 1,205,281 × 298,206.13
  4. Step 4: Simplify right side
    803,546.64x = 359,422,182,572.53
  5. Step 5: Solve for x
    x = 359,422,182,572.53/803,546.64
  6. Step 6: Final answer
    x = 447,294.74

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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.