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Finding the Fourth Proportional to 489,210.30, 733,815.45 and 450,719.10

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Solution

The fourth proportional to 489,210.30, 733,815.45 and 450,719.10 is: 676,078.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,210.30 : 733,815.45 = 450,719.10 : x
  2. Step 2: Convert to fraction form
    489,210.30/733,815.45 = 450,719.10/x
  3. Step 3: Cross multiply
    489,210.30x = 733,815.45 × 450,719.10
  4. Step 4: Simplify right side
    489,210.30x = 330,744,639,190.10
  5. Step 5: Solve for x
    x = 330,744,639,190.10/489,210.30
  6. Step 6: Final answer
    x = 676,078.65

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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.