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Finding the Fourth Proportional to 417,740.32, 626,622.63 and 102,197.14

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Solution

The fourth proportional to 417,740.32, 626,622.63 and 102,197.14 is: 153,298.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,740.32 : 626,622.63 = 102,197.14 : x
  2. Step 2: Convert to fraction form
    417,740.32/626,622.63 = 102,197.14/x
  3. Step 3: Cross multiply
    417,740.32x = 626,622.63 × 102,197.14
  4. Step 4: Simplify right side
    417,740.32x = 64,039,040,645.28
  5. Step 5: Solve for x
    x = 64,039,040,645.28/417,740.32
  6. Step 6: Final answer
    x = 153,298.68

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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.