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Finding the Fourth Proportional to 475,375.50, 713,343.47 and 176,066.25

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Solution

The fourth proportional to 475,375.50, 713,343.47 and 176,066.25 is: 264,203.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,375.50 : 713,343.47 = 176,066.25 : x
  2. Step 2: Convert to fraction form
    475,375.50/713,343.47 = 176,066.25/x
  3. Step 3: Cross multiply
    475,375.50x = 713,343.47 × 176,066.25
  4. Step 4: Simplify right side
    475,375.50x = 125,595,709,724.89
  5. Step 5: Solve for x
    x = 125,595,709,724.89/475,375.50
  6. Step 6: Final answer
    x = 264,203.16

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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.