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Finding the Fourth Proportional to 456,856.80, 685,312.10 and 176,375.52

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Solution

The fourth proportional to 456,856.80, 685,312.10 and 176,375.52 is: 264,573.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,856.80 : 685,312.10 = 176,375.52 : x
  2. Step 2: Convert to fraction form
    456,856.80/685,312.10 = 176,375.52/x
  3. Step 3: Cross multiply
    456,856.80x = 685,312.10 × 176,375.52
  4. Step 4: Simplify right side
    456,856.80x = 120,872,277,999.79
  5. Step 5: Solve for x
    x = 120,872,277,999.79/456,856.80
  6. Step 6: Final answer
    x = 264,573.67

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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.