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Finding the Fourth Proportional to 470,894.04, 649,830.38 and 256,034.25

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Solution

The fourth proportional to 470,894.04, 649,830.38 and 256,034.25 is: 353,325.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,894.04 : 649,830.38 = 256,034.25 : x
  2. Step 2: Convert to fraction form
    470,894.04/649,830.38 = 256,034.25/x
  3. Step 3: Cross multiply
    470,894.04x = 649,830.38 × 256,034.25
  4. Step 4: Simplify right side
    470,894.04x = 166,378,832,690.34
  5. Step 5: Solve for x
    x = 166,378,832,690.34/470,894.04
  6. Step 6: Final answer
    x = 353,325.42

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