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Finding the Fourth Proportional to 489,095.40, 733,643.10 and 329,663.10

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Solution

The fourth proportional to 489,095.40, 733,643.10 and 329,663.10 is: 494,494.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,095.40 : 733,643.10 = 329,663.10 : x
  2. Step 2: Convert to fraction form
    489,095.40/733,643.10 = 329,663.10/x
  3. Step 3: Cross multiply
    489,095.40x = 733,643.10 × 329,663.10
  4. Step 4: Simplify right side
    489,095.40x = 241,855,058,639.61
  5. Step 5: Solve for x
    x = 241,855,058,639.61/489,095.40
  6. Step 6: Final answer
    x = 494,494.65

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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.