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Finding the Fourth Proportional to 413,500, 570,587.46 and 232,210.47

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Solution

The fourth proportional to 413,500, 570,587.46 and 232,210.47 is: 320,426.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,500 : 570,587.46 = 232,210.47 : x
  2. Step 2: Convert to fraction form
    413,500/570,587.46 = 232,210.47/x
  3. Step 3: Cross multiply
    413,500x = 570,587.46 × 232,210.47
  4. Step 4: Simplify right side
    413,500x = 132,496,382,262.71
  5. Step 5: Solve for x
    x = 132,496,382,262.71/413,500
  6. Step 6: Final answer
    x = 320,426.56

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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.