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Finding the Fourth Proportional to 417,486.09, 626,262.93 and 117,969.15

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Solution

The fourth proportional to 417,486.09, 626,262.93 and 117,969.15 is: 176,963.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,486.09 : 626,262.93 = 117,969.15 : x
  2. Step 2: Convert to fraction form
    417,486.09/626,262.93 = 117,969.15/x
  3. Step 3: Cross multiply
    417,486.09x = 626,262.93 × 117,969.15
  4. Step 4: Simplify right side
    417,486.09x = 73,879,705,528.61
  5. Step 5: Solve for x
    x = 73,879,705,528.61/417,486.09
  6. Step 6: Final answer
    x = 176,963.27

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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.