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Finding the Fourth Proportional to 377,071.80, 565,792.07 and 177,412.06

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Solution

The fourth proportional to 377,071.80, 565,792.07 and 177,412.06 is: 266,204.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,071.80 : 565,792.07 = 177,412.06 : x
  2. Step 2: Convert to fraction form
    377,071.80/565,792.07 = 177,412.06/x
  3. Step 3: Cross multiply
    377,071.80x = 565,792.07 × 177,412.06
  4. Step 4: Simplify right side
    377,071.80x = 100,378,336,670.36
  5. Step 5: Solve for x
    x = 100,378,336,670.36/377,071.80
  6. Step 6: Final answer
    x = 266,204.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.