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Finding the Fourth Proportional to 463,348.80, 693,856.80 and 304,718.40

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Solution

The fourth proportional to 463,348.80, 693,856.80 and 304,718.40 is: 456,310.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,348.80 : 693,856.80 = 304,718.40 : x
  2. Step 2: Convert to fraction form
    463,348.80/693,856.80 = 304,718.40/x
  3. Step 3: Cross multiply
    463,348.80x = 693,856.80 × 304,718.40
  4. Step 4: Simplify right side
    463,348.80x = 211,430,933,925.12
  5. Step 5: Solve for x
    x = 211,430,933,925.12/463,348.80
  6. Step 6: Final answer
    x = 456,310.52

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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.