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Finding the Fourth Proportional to 417,569.41, 626,303.07 and 177,780.04

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Solution

The fourth proportional to 417,569.41, 626,303.07 and 177,780.04 is: 266,648.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,569.41 : 626,303.07 = 177,780.04 : x
  2. Step 2: Convert to fraction form
    417,569.41/626,303.07 = 177,780.04/x
  3. Step 3: Cross multiply
    417,569.41x = 626,303.07 × 177,780.04
  4. Step 4: Simplify right side
    417,569.41x = 111,344,184,836.72
  5. Step 5: Solve for x
    x = 111,344,184,836.72/417,569.41
  6. Step 6: Final answer
    x = 266,648.33

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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.