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Finding the Fourth Proportional to 486,029.10, 729,043.65 and 468,314.40

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Solution

The fourth proportional to 486,029.10, 729,043.65 and 468,314.40 is: 702,471.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,029.10 : 729,043.65 = 468,314.40 : x
  2. Step 2: Convert to fraction form
    486,029.10/729,043.65 = 468,314.40/x
  3. Step 3: Cross multiply
    486,029.10x = 729,043.65 × 468,314.40
  4. Step 4: Simplify right side
    486,029.10x = 341,421,639,523.56
  5. Step 5: Solve for x
    x = 341,421,639,523.56/486,029.10
  6. Step 6: Final answer
    x = 702,471.60

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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.