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Finding the Fourth Proportional to 312,346.52, 468,460.66 and 152,261.65

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Solution

The fourth proportional to 312,346.52, 468,460.66 and 152,261.65 is: 228,363.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,346.52 : 468,460.66 = 152,261.65 : x
  2. Step 2: Convert to fraction form
    312,346.52/468,460.66 = 152,261.65/x
  3. Step 3: Cross multiply
    312,346.52x = 468,460.66 × 152,261.65
  4. Step 4: Simplify right side
    312,346.52x = 71,328,593,051.69
  5. Step 5: Solve for x
    x = 71,328,593,051.69/312,346.52
  6. Step 6: Final answer
    x = 228,363.66

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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.