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Finding the Fourth Proportional to 456,483.70, 685,287.15 and 288,003.70

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Solution

The fourth proportional to 456,483.70, 685,287.15 and 288,003.70 is: 432,359.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,483.70 : 685,287.15 = 288,003.70 : x
  2. Step 2: Convert to fraction form
    456,483.70/685,287.15 = 288,003.70/x
  3. Step 3: Cross multiply
    456,483.70x = 685,287.15 × 288,003.70
  4. Step 4: Simplify right side
    456,483.70x = 197,365,234,762.46
  5. Step 5: Solve for x
    x = 197,365,234,762.46/456,483.70
  6. Step 6: Final answer
    x = 432,359.87

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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.