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Finding the Fourth Proportional to 489,246.70, 733,870.05 and 410,514.70

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Solution

The fourth proportional to 489,246.70, 733,870.05 and 410,514.70 is: 615,772.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,246.70 : 733,870.05 = 410,514.70 : x
  2. Step 2: Convert to fraction form
    489,246.70/733,870.05 = 410,514.70/x
  3. Step 3: Cross multiply
    489,246.70x = 733,870.05 × 410,514.70
  4. Step 4: Simplify right side
    489,246.70x = 301,264,443,414.74
  5. Step 5: Solve for x
    x = 301,264,443,414.74/489,246.70
  6. Step 6: Final answer
    x = 615,772.05

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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.