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Finding the Fourth Proportional to 280,312.20, 420,857.10 and 175,336.20

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Solution

The fourth proportional to 280,312.20, 420,857.10 and 175,336.20 is: 263,247.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,312.20 : 420,857.10 = 175,336.20 : x
  2. Step 2: Convert to fraction form
    280,312.20/420,857.10 = 175,336.20/x
  3. Step 3: Cross multiply
    280,312.20x = 420,857.10 × 175,336.20
  4. Step 4: Simplify right side
    280,312.20x = 73,791,484,657.02
  5. Step 5: Solve for x
    x = 73,791,484,657.02/280,312.20
  6. Step 6: Final answer
    x = 263,247.50

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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.