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Finding the Fourth Proportional to 464,856.56, 697,658.54 and 240,282.86

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Solution

The fourth proportional to 464,856.56, 697,658.54 and 240,282.86 is: 360,617.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,856.56 : 697,658.54 = 240,282.86 : x
  2. Step 2: Convert to fraction form
    464,856.56/697,658.54 = 240,282.86/x
  3. Step 3: Cross multiply
    464,856.56x = 697,658.54 × 240,282.86
  4. Step 4: Simplify right side
    464,856.56x = 167,635,389,294.62
  5. Step 5: Solve for x
    x = 167,635,389,294.62/464,856.56
  6. Step 6: Final answer
    x = 360,617.45

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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.