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Finding the Fourth Proportional to 732,328.80, 1,098,959.76 and 311,604

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Solution

The fourth proportional to 732,328.80, 1,098,959.76 and 311,604 is: 467,604.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    732,328.80 : 1,098,959.76 = 311,604 : x
  2. Step 2: Convert to fraction form
    732,328.80/1,098,959.76 = 311,604/x
  3. Step 3: Cross multiply
    732,328.80x = 1,098,959.76 × 311,604
  4. Step 4: Simplify right side
    732,328.80x = 342,440,257,055.04
  5. Step 5: Solve for x
    x = 342,440,257,055.04/732,328.80
  6. Step 6: Final answer
    x = 467,604.52

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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.