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Finding the Fourth Proportional to 297,274.76, 410,212.02 and 176,395.24

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Solution

The fourth proportional to 297,274.76, 410,212.02 and 176,395.24 is: 243,409.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,274.76 : 410,212.02 = 176,395.24 : x
  2. Step 2: Convert to fraction form
    297,274.76/410,212.02 = 176,395.24/x
  3. Step 3: Cross multiply
    297,274.76x = 410,212.02 × 176,395.24
  4. Step 4: Simplify right side
    297,274.76x = 72,359,447,718.78
  5. Step 5: Solve for x
    x = 72,359,447,718.78/297,274.76
  6. Step 6: Final answer
    x = 243,409.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.