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Finding the Fourth Proportional to 314,056.32, 467,758.56 and 312,527.04

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Solution

The fourth proportional to 314,056.32, 467,758.56 and 312,527.04 is: 465,480.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,056.32 : 467,758.56 = 312,527.04 : x
  2. Step 2: Convert to fraction form
    314,056.32/467,758.56 = 312,527.04/x
  3. Step 3: Cross multiply
    314,056.32x = 467,758.56 × 312,527.04
  4. Step 4: Simplify right side
    314,056.32x = 146,187,198,191.46
  5. Step 5: Solve for x
    x = 146,187,198,191.46/314,056.32
  6. Step 6: Final answer
    x = 465,480.84

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.