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Finding the Fourth Proportional to 400,632.04, 553,246.86 and 257,640.31

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Solution

The fourth proportional to 400,632.04, 553,246.86 and 257,640.31 is: 355,784.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,632.04 : 553,246.86 = 257,640.31 : x
  2. Step 2: Convert to fraction form
    400,632.04/553,246.86 = 257,640.31/x
  3. Step 3: Cross multiply
    400,632.04x = 553,246.86 × 257,640.31
  4. Step 4: Simplify right side
    400,632.04x = 142,538,692,516.93
  5. Step 5: Solve for x
    x = 142,538,692,516.93/400,632.04
  6. Step 6: Final answer
    x = 355,784.56

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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.