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Finding the Fourth Proportional to 297,594, 410,679.72 and 163,458

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Solution

The fourth proportional to 297,594, 410,679.72 and 163,458 is: 225,572.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,594 : 410,679.72 = 163,458 : x
  2. Step 2: Convert to fraction form
    297,594/410,679.72 = 163,458/x
  3. Step 3: Cross multiply
    297,594x = 410,679.72 × 163,458
  4. Step 4: Simplify right side
    297,594x = 67,128,885,671.76
  5. Step 5: Solve for x
    x = 67,128,885,671.76/297,594
  6. Step 6: Final answer
    x = 225,572.04

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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.