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Finding the Fourth Proportional to 484,870.78, 727,062.63 and 282,532.24

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Solution

The fourth proportional to 484,870.78, 727,062.63 and 282,532.24 is: 423,656.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,870.78 : 727,062.63 = 282,532.24 : x
  2. Step 2: Convert to fraction form
    484,870.78/727,062.63 = 282,532.24/x
  3. Step 3: Cross multiply
    484,870.78x = 727,062.63 × 282,532.24
  4. Step 4: Simplify right side
    484,870.78x = 205,418,633,474.19
  5. Step 5: Solve for x
    x = 205,418,633,474.19/484,870.78
  6. Step 6: Final answer
    x = 423,656.45

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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.