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Finding the Fourth Proportional to 413,497.50, 570,584.02 and 232,207.96

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Solution

The fourth proportional to 413,497.50, 570,584.02 and 232,207.96 is: 320,423.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,497.50 : 570,584.02 = 232,207.96 : x
  2. Step 2: Convert to fraction form
    413,497.50/570,584.02 = 232,207.96/x
  3. Step 3: Cross multiply
    413,497.50x = 570,584.02 × 232,207.96
  4. Step 4: Simplify right side
    413,497.50x = 132,494,149,285.82
  5. Step 5: Solve for x
    x = 132,494,149,285.82/413,497.50
  6. Step 6: Final answer
    x = 320,423.10

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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.