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Finding the Fourth Proportional to 413,732, 570,957.72 and 229,987.82

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Solution

The fourth proportional to 413,732, 570,957.72 and 229,987.82 is: 317,387.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,732 : 570,957.72 = 229,987.82 : x
  2. Step 2: Convert to fraction form
    413,732/570,957.72 = 229,987.82/x
  3. Step 3: Cross multiply
    413,732x = 570,957.72 × 229,987.82
  4. Step 4: Simplify right side
    413,732x = 131,313,321,334.97
  5. Step 5: Solve for x
    x = 131,313,321,334.97/413,732
  6. Step 6: Final answer
    x = 317,387.39

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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.