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Finding the Fourth Proportional to 417,736.32, 626,616.63 and 102,193.13

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Solution

The fourth proportional to 417,736.32, 626,616.63 and 102,193.13 is: 153,292.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,736.32 : 626,616.63 = 102,193.13 : x
  2. Step 2: Convert to fraction form
    417,736.32/626,616.63 = 102,193.13/x
  3. Step 3: Cross multiply
    417,736.32x = 626,616.63 × 102,193.13
  4. Step 4: Simplify right side
    417,736.32x = 64,035,911,596.67
  5. Step 5: Solve for x
    x = 64,035,911,596.67/417,736.32
  6. Step 6: Final answer
    x = 153,292.66

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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.