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Finding the Fourth Proportional to 470,376.60, 649,172.52 and 266,441.28

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Solution

The fourth proportional to 470,376.60, 649,172.52 and 266,441.28 is: 367,718.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,376.60 : 649,172.52 = 266,441.28 : x
  2. Step 2: Convert to fraction form
    470,376.60/649,172.52 = 266,441.28/x
  3. Step 3: Cross multiply
    470,376.60x = 649,172.52 × 266,441.28
  4. Step 4: Simplify right side
    470,376.60x = 172,966,357,169.63
  5. Step 5: Solve for x
    x = 172,966,357,169.63/470,376.60
  6. Step 6: Final answer
    x = 367,718.88

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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.