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Finding the Fourth Proportional to 414,542.40, 572,068.48 and 235,694.40

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Solution

The fourth proportional to 414,542.40, 572,068.48 and 235,694.40 is: 325,258.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,542.40 : 572,068.48 = 235,694.40 : x
  2. Step 2: Convert to fraction form
    414,542.40/572,068.48 = 235,694.40/x
  3. Step 3: Cross multiply
    414,542.40x = 572,068.48 × 235,694.40
  4. Step 4: Simplify right side
    414,542.40x = 134,833,337,152.51
  5. Step 5: Solve for x
    x = 134,833,337,152.51/414,542.40
  6. Step 6: Final answer
    x = 325,258.25

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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.