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Finding the Fourth Proportional to 312,416.64, 468,527.98 and 112,711

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Solution

The fourth proportional to 312,416.64, 468,527.98 and 112,711 is: 169,031.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,416.64 : 468,527.98 = 112,711 : x
  2. Step 2: Convert to fraction form
    312,416.64/468,527.98 = 112,711/x
  3. Step 3: Cross multiply
    312,416.64x = 468,527.98 × 112,711
  4. Step 4: Simplify right side
    312,416.64x = 52,808,257,153.78
  5. Step 5: Solve for x
    x = 52,808,257,153.78/312,416.64
  6. Step 6: Final answer
    x = 169,031.51

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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.