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Finding the Fourth Proportional to 417,653.68, 626,480.52 and 102,106.84

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Solution

The fourth proportional to 417,653.68, 626,480.52 and 102,106.84 is: 153,160.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,653.68 : 626,480.52 = 102,106.84 : x
  2. Step 2: Convert to fraction form
    417,653.68/626,480.52 = 102,106.84/x
  3. Step 3: Cross multiply
    417,653.68x = 626,480.52 × 102,106.84
  4. Step 4: Simplify right side
    417,653.68x = 63,967,946,218.76
  5. Step 5: Solve for x
    x = 63,967,946,218.76/417,653.68
  6. Step 6: Final answer
    x = 153,160.26

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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.