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Finding the Fourth Proportional to 450,048.30, 674,964.45 and 260,097.90

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Solution

The fourth proportional to 450,048.30, 674,964.45 and 260,097.90 is: 390,084.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,048.30 : 674,964.45 = 260,097.90 : x
  2. Step 2: Convert to fraction form
    450,048.30/674,964.45 = 260,097.90/x
  3. Step 3: Cross multiply
    450,048.30x = 674,964.45 × 260,097.90
  4. Step 4: Simplify right side
    450,048.30x = 175,556,836,019.66
  5. Step 5: Solve for x
    x = 175,556,836,019.66/450,048.30
  6. Step 6: Final answer
    x = 390,084.43

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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.