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Finding the Fourth Proportional to 399,061, 598,690.14 and 118,577.08

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Solution

The fourth proportional to 399,061, 598,690.14 and 118,577.08 is: 177,894.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,061 : 598,690.14 = 118,577.08 : x
  2. Step 2: Convert to fraction form
    399,061/598,690.14 = 118,577.08/x
  3. Step 3: Cross multiply
    399,061x = 598,690.14 × 118,577.08
  4. Step 4: Simplify right side
    399,061x = 70,990,928,625.99
  5. Step 5: Solve for x
    x = 70,990,928,625.99/399,061
  6. Step 6: Final answer
    x = 177,894.93

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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.