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Finding the Fourth Proportional to 273,114.40, 409,690.80 and 154,842.40

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Solution

The fourth proportional to 273,114.40, 409,690.80 and 154,842.40 is: 232,274.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,114.40 : 409,690.80 = 154,842.40 : x
  2. Step 2: Convert to fraction form
    273,114.40/409,690.80 = 154,842.40/x
  3. Step 3: Cross multiply
    273,114.40x = 409,690.80 × 154,842.40
  4. Step 4: Simplify right side
    273,114.40x = 63,437,506,729.92
  5. Step 5: Solve for x
    x = 63,437,506,729.92/273,114.40
  6. Step 6: Final answer
    x = 232,274.49

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1.5x scale

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.