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Finding the Fourth Proportional to 413,257.60, 619,645.52 and 160,242.52

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Solution

The fourth proportional to 413,257.60, 619,645.52 and 160,242.52 is: 240,270.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,257.60 : 619,645.52 = 160,242.52 : x
  2. Step 2: Convert to fraction form
    413,257.60/619,645.52 = 160,242.52/x
  3. Step 3: Cross multiply
    413,257.60x = 619,645.52 × 160,242.52
  4. Step 4: Simplify right side
    413,257.60x = 99,293,559,631.51
  5. Step 5: Solve for x
    x = 99,293,559,631.51/413,257.60
  6. Step 6: Final answer
    x = 240,270.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.