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Finding the Fourth Proportional to 345,711, 518,653.98 and 96,393

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Solution

The fourth proportional to 345,711, 518,653.98 and 96,393 is: 144,613.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,711 : 518,653.98 = 96,393 : x
  2. Step 2: Convert to fraction form
    345,711/518,653.98 = 96,393/x
  3. Step 3: Cross multiply
    345,711x = 518,653.98 × 96,393
  4. Step 4: Simplify right side
    345,711x = 49,994,613,094.14
  5. Step 5: Solve for x
    x = 49,994,613,094.14/345,711
  6. Step 6: Final answer
    x = 144,613.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.