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Finding the Fourth Proportional to 470,607.47, 649,442.48 and 255,747.54

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Solution

The fourth proportional to 470,607.47, 649,442.48 and 255,747.54 is: 352,933.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,607.47 : 649,442.48 = 255,747.54 : x
  2. Step 2: Convert to fraction form
    470,607.47/649,442.48 = 255,747.54/x
  3. Step 3: Cross multiply
    470,607.47x = 649,442.48 × 255,747.54
  4. Step 4: Simplify right side
    470,607.47x = 166,093,317,788.17
  5. Step 5: Solve for x
    x = 166,093,317,788.17/470,607.47
  6. Step 6: Final answer
    x = 352,933.88

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1.5x scale

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.