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Finding the Fourth Proportional to 413,237.74, 570,228.70 and 231,908.10

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Solution

The fourth proportional to 413,237.74, 570,228.70 and 231,908.10 is: 320,011.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,237.74 : 570,228.70 = 231,908.10 : x
  2. Step 2: Convert to fraction form
    413,237.74/570,228.70 = 231,908.10/x
  3. Step 3: Cross multiply
    413,237.74x = 570,228.70 × 231,908.10
  4. Step 4: Simplify right side
    413,237.74x = 132,240,655,808.04
  5. Step 5: Solve for x
    x = 132,240,655,808.04/413,237.74
  6. Step 6: Final answer
    x = 320,011.08

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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.