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Finding the Fourth Proportional to 470,008.65, 648,543.48 and 268,765.77

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Solution

The fourth proportional to 470,008.65, 648,543.48 and 268,765.77 is: 370,857.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,008.65 : 648,543.48 = 268,765.77 : x
  2. Step 2: Convert to fraction form
    470,008.65/648,543.48 = 268,765.77/x
  3. Step 3: Cross multiply
    470,008.65x = 648,543.48 × 268,765.77
  4. Step 4: Simplify right side
    470,008.65x = 174,306,287,780.68
  5. Step 5: Solve for x
    x = 174,306,287,780.68/470,008.65
  6. Step 6: Final answer
    x = 370,857.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.