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Finding the Fourth Proportional to 313,060.50, 469,590.76 and 146,848.50

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Solution

The fourth proportional to 313,060.50, 469,590.76 and 146,848.50 is: 220,272.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,060.50 : 469,590.76 = 146,848.50 : x
  2. Step 2: Convert to fraction form
    313,060.50/469,590.76 = 146,848.50/x
  3. Step 3: Cross multiply
    313,060.50x = 469,590.76 × 146,848.50
  4. Step 4: Simplify right side
    313,060.50x = 68,958,698,719.86
  5. Step 5: Solve for x
    x = 68,958,698,719.86/313,060.50
  6. Step 6: Final answer
    x = 220,272.75

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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.