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Finding the Fourth Proportional to 314,356.64, 471,535.10 and 103,994.57

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Solution

The fourth proportional to 314,356.64, 471,535.10 and 103,994.57 is: 155,991.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,356.64 : 471,535.10 = 103,994.57 : x
  2. Step 2: Convert to fraction form
    314,356.64/471,535.10 = 103,994.57/x
  3. Step 3: Cross multiply
    314,356.64x = 471,535.10 × 103,994.57
  4. Step 4: Simplify right side
    314,356.64x = 49,037,087,086.76
  5. Step 5: Solve for x
    x = 49,037,087,086.76/314,356.64
  6. Step 6: Final answer
    x = 155,991.89

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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.