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Finding the Fourth Proportional to 414,604.80, 572,140.80 and 233,320.32

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Solution

The fourth proportional to 414,604.80, 572,140.80 and 233,320.32 is: 321,974.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,604.80 : 572,140.80 = 233,320.32 : x
  2. Step 2: Convert to fraction form
    414,604.80/572,140.80 = 233,320.32/x
  3. Step 3: Cross multiply
    414,604.80x = 572,140.80 × 233,320.32
  4. Step 4: Simplify right side
    414,604.80x = 133,492,074,541.06
  5. Step 5: Solve for x
    x = 133,492,074,541.06/414,604.80
  6. Step 6: Final answer
    x = 321,974.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.