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Finding the Fourth Proportional to 475,342.74, 713,104.02 and 191,055.42

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Solution

The fourth proportional to 475,342.74, 713,104.02 and 191,055.42 is: 286,619.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,342.74 : 713,104.02 = 191,055.42 : x
  2. Step 2: Convert to fraction form
    475,342.74/713,104.02 = 191,055.42/x
  3. Step 3: Cross multiply
    475,342.74x = 713,104.02 × 191,055.42
  4. Step 4: Simplify right side
    475,342.74x = 136,242,388,044.79
  5. Step 5: Solve for x
    x = 136,242,388,044.79/475,342.74
  6. Step 6: Final answer
    x = 286,619.27

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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.