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Finding the Fourth Proportional to 414,484.74, 572,058.86 and 240,029.60

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Solution

The fourth proportional to 414,484.74, 572,058.86 and 240,029.60 is: 331,281.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,484.74 : 572,058.86 = 240,029.60 : x
  2. Step 2: Convert to fraction form
    414,484.74/572,058.86 = 240,029.60/x
  3. Step 3: Cross multiply
    414,484.74x = 572,058.86 × 240,029.60
  4. Step 4: Simplify right side
    414,484.74x = 137,311,055,281.81
  5. Step 5: Solve for x
    x = 137,311,055,281.81/414,484.74
  6. Step 6: Final answer
    x = 331,281.33

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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.