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Finding the Fourth Proportional to 486,159.84, 729,317.52 and 205,679.52

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Solution

The fourth proportional to 486,159.84, 729,317.52 and 205,679.52 is: 308,552.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,159.84 : 729,317.52 = 205,679.52 : x
  2. Step 2: Convert to fraction form
    486,159.84/729,317.52 = 205,679.52/x
  3. Step 3: Cross multiply
    486,159.84x = 729,317.52 × 205,679.52
  4. Step 4: Simplify right side
    486,159.84x = 150,005,677,441.19
  5. Step 5: Solve for x
    x = 150,005,677,441.19/486,159.84
  6. Step 6: Final answer
    x = 308,552.18

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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.