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Finding the Fourth Proportional to 297,411.72, 410,400.90 and 176,532.36

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Solution

The fourth proportional to 297,411.72, 410,400.90 and 176,532.36 is: 243,598.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,411.72 : 410,400.90 = 176,532.36 : x
  2. Step 2: Convert to fraction form
    297,411.72/410,400.90 = 176,532.36/x
  3. Step 3: Cross multiply
    297,411.72x = 410,400.90 × 176,532.36
  4. Step 4: Simplify right side
    297,411.72x = 72,449,039,423.12
  5. Step 5: Solve for x
    x = 72,449,039,423.12/297,411.72
  6. Step 6: Final answer
    x = 243,598.47

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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.