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Finding the Fourth Proportional to 297,412.50, 410,437.89 and 163,285.14

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Solution

The fourth proportional to 297,412.50, 410,437.89 and 163,285.14 is: 225,338.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,412.50 : 410,437.89 = 163,285.14 : x
  2. Step 2: Convert to fraction form
    297,412.50/410,437.89 = 163,285.14/x
  3. Step 3: Cross multiply
    297,412.50x = 410,437.89 × 163,285.14
  4. Step 4: Simplify right side
    297,412.50x = 67,018,408,329.95
  5. Step 5: Solve for x
    x = 67,018,408,329.95/297,412.50
  6. Step 6: Final answer
    x = 225,338.24

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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.