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Finding the Fourth Proportional to 414,516.40, 572,032.64 and 235,668.40

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Solution

The fourth proportional to 414,516.40, 572,032.64 and 235,668.40 is: 325,222.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,516.40 : 572,032.64 = 235,668.40 : x
  2. Step 2: Convert to fraction form
    414,516.40/572,032.64 = 235,668.40/x
  3. Step 3: Cross multiply
    414,516.40x = 572,032.64 × 235,668.40
  4. Step 4: Simplify right side
    414,516.40x = 134,810,017,016.58
  5. Step 5: Solve for x
    x = 134,810,017,016.58/414,516.40
  6. Step 6: Final answer
    x = 325,222.40

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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.