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Finding the Fourth Proportional to 470,350.64, 649,085.11 and 255,488.96

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Solution

The fourth proportional to 470,350.64, 649,085.11 and 255,488.96 is: 352,575.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,350.64 : 649,085.11 = 255,488.96 : x
  2. Step 2: Convert to fraction form
    470,350.64/649,085.11 = 255,488.96/x
  3. Step 3: Cross multiply
    470,350.64x = 649,085.11 × 255,488.96
  4. Step 4: Simplify right side
    470,350.64x = 165,834,075,821.24
  5. Step 5: Solve for x
    x = 165,834,075,821.24/470,350.64
  6. Step 6: Final answer
    x = 352,575.43

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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.