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Finding the Fourth Proportional to 475,374.50, 713,341.97 and 176,065.25

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Solution

The fourth proportional to 475,374.50, 713,341.97 and 176,065.25 is: 264,201.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,374.50 : 713,341.97 = 176,065.25 : x
  2. Step 2: Convert to fraction form
    475,374.50/713,341.97 = 176,065.25/x
  3. Step 3: Cross multiply
    475,374.50x = 713,341.97 × 176,065.25
  4. Step 4: Simplify right side
    475,374.50x = 125,594,732,283.54
  5. Step 5: Solve for x
    x = 125,594,732,283.54/475,374.50
  6. Step 6: Final answer
    x = 264,201.66

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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.