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Finding the Fourth Proportional to 614,463.84, 921,851.28 and 259,295.04

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Solution

The fourth proportional to 614,463.84, 921,851.28 and 259,295.04 is: 389,008.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,463.84 : 921,851.28 = 259,295.04 : x
  2. Step 2: Convert to fraction form
    614,463.84/921,851.28 = 259,295.04/x
  3. Step 3: Cross multiply
    614,463.84x = 921,851.28 × 259,295.04
  4. Step 4: Simplify right side
    614,463.84x = 239,031,464,521.65
  5. Step 5: Solve for x
    x = 239,031,464,521.65/614,463.84
  6. Step 6: Final answer
    x = 389,008.19

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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.