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Finding the Fourth Proportional to 280,031.40, 420,047.10 and 173,500.20

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Solution

The fourth proportional to 280,031.40, 420,047.10 and 173,500.20 is: 260,250.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,031.40 : 420,047.10 = 173,500.20 : x
  2. Step 2: Convert to fraction form
    280,031.40/420,047.10 = 173,500.20/x
  3. Step 3: Cross multiply
    280,031.40x = 420,047.10 × 173,500.20
  4. Step 4: Simplify right side
    280,031.40x = 72,878,255,859.42
  5. Step 5: Solve for x
    x = 72,878,255,859.42/280,031.40
  6. Step 6: Final answer
    x = 260,250.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.