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Finding the Fourth Proportional to 497,207.58, 745,706.61 and 160,278.36

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Solution

The fourth proportional to 497,207.58, 745,706.61 and 160,278.36 is: 240,383.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,207.58 : 745,706.61 = 160,278.36 : x
  2. Step 2: Convert to fraction form
    497,207.58/745,706.61 = 160,278.36/x
  3. Step 3: Cross multiply
    497,207.58x = 745,706.61 × 160,278.36
  4. Step 4: Simplify right side
    497,207.58x = 119,520,632,491.96
  5. Step 5: Solve for x
    x = 119,520,632,491.96/497,207.58
  6. Step 6: Final answer
    x = 240,383.77

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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.