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Finding the Fourth Proportional to 310,023.40, 464,343.90 and 254,727.40

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Solution

The fourth proportional to 310,023.40, 464,343.90 and 254,727.40 is: 381,523.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,023.40 : 464,343.90 = 254,727.40 : x
  2. Step 2: Convert to fraction form
    310,023.40/464,343.90 = 254,727.40/x
  3. Step 3: Cross multiply
    310,023.40x = 464,343.90 × 254,727.40
  4. Step 4: Simplify right side
    310,023.40x = 118,281,114,352.86
  5. Step 5: Solve for x
    x = 118,281,114,352.86/310,023.40
  6. Step 6: Final answer
    x = 381,523.18

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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.