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Finding the Fourth Proportional to 535,865.40, 803,798.10 and 409,894.20

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Solution

The fourth proportional to 535,865.40, 803,798.10 and 409,894.20 is: 614,841.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,865.40 : 803,798.10 = 409,894.20 : x
  2. Step 2: Convert to fraction form
    535,865.40/803,798.10 = 409,894.20/x
  3. Step 3: Cross multiply
    535,865.40x = 803,798.10 × 409,894.20
  4. Step 4: Simplify right side
    535,865.40x = 329,472,179,161.02
  5. Step 5: Solve for x
    x = 329,472,179,161.02/535,865.40
  6. Step 6: Final answer
    x = 614,841.30

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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.