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Finding the Fourth Proportional to 470,967.68, 649,952.49 and 269,802.56

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Solution

The fourth proportional to 470,967.68, 649,952.49 and 269,802.56 is: 372,337.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,967.68 : 649,952.49 = 269,802.56 : x
  2. Step 2: Convert to fraction form
    470,967.68/649,952.49 = 269,802.56/x
  3. Step 3: Cross multiply
    470,967.68x = 649,952.49 × 269,802.56
  4. Step 4: Simplify right side
    470,967.68x = 175,358,842,430.61
  5. Step 5: Solve for x
    x = 175,358,842,430.61/470,967.68
  6. Step 6: Final answer
    x = 372,337.32

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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.