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Finding the Fourth Proportional to 310,085.10, 464,471.55 and 310,085.10

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Solution

The fourth proportional to 310,085.10, 464,471.55 and 310,085.10 is: 464,471.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,085.10 : 464,471.55 = 310,085.10 : x
  2. Step 2: Convert to fraction form
    310,085.10/464,471.55 = 310,085.10/x
  3. Step 3: Cross multiply
    310,085.10x = 464,471.55 × 310,085.10
  4. Step 4: Simplify right side
    310,085.10x = 144,025,707,028.91
  5. Step 5: Solve for x
    x = 144,025,707,028.91/310,085.10
  6. Step 6: Final answer
    x = 464,471.55

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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.