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Finding the Fourth Proportional to 535,904.40, 803,856.60 and 180,832.80

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Solution

The fourth proportional to 535,904.40, 803,856.60 and 180,832.80 is: 271,249.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,904.40 : 803,856.60 = 180,832.80 : x
  2. Step 2: Convert to fraction form
    535,904.40/803,856.60 = 180,832.80/x
  3. Step 3: Cross multiply
    535,904.40x = 803,856.60 × 180,832.80
  4. Step 4: Simplify right side
    535,904.40x = 145,363,639,776.48
  5. Step 5: Solve for x
    x = 145,363,639,776.48/535,904.40
  6. Step 6: Final answer
    x = 271,249.20

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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.