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Finding the Fourth Proportional to 535,820.40, 803,730.60 and 409,849.20

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Solution

The fourth proportional to 535,820.40, 803,730.60 and 409,849.20 is: 614,773.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,820.40 : 803,730.60 = 409,849.20 : x
  2. Step 2: Convert to fraction form
    535,820.40/803,730.60 = 409,849.20/x
  3. Step 3: Cross multiply
    535,820.40x = 803,730.60 × 409,849.20
  4. Step 4: Simplify right side
    535,820.40x = 329,408,343,425.52
  5. Step 5: Solve for x
    x = 329,408,343,425.52/535,820.40
  6. Step 6: Final answer
    x = 614,773.80

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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.