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Finding the Fourth Proportional to 413,225.64, 570,207.56 and 231,957.51

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Solution

The fourth proportional to 413,225.64, 570,207.56 and 231,957.51 is: 320,076.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,225.64 : 570,207.56 = 231,957.51 : x
  2. Step 2: Convert to fraction form
    413,225.64/570,207.56 = 231,957.51/x
  3. Step 3: Cross multiply
    413,225.64x = 570,207.56 × 231,957.51
  4. Step 4: Simplify right side
    413,225.64x = 132,263,925,510.83
  5. Step 5: Solve for x
    x = 132,263,925,510.83/413,225.64
  6. Step 6: Final answer
    x = 320,076.76

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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.