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Finding the Fourth Proportional to 363,088.59, 543,468.24 and 194,186.58

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Solution

The fourth proportional to 363,088.59, 543,468.24 and 194,186.58 is: 290,657.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,088.59 : 543,468.24 = 194,186.58 : x
  2. Step 2: Convert to fraction form
    363,088.59/543,468.24 = 194,186.58/x
  3. Step 3: Cross multiply
    363,088.59x = 543,468.24 × 194,186.58
  4. Step 4: Simplify right side
    363,088.59x = 105,534,238,864.22
  5. Step 5: Solve for x
    x = 105,534,238,864.22/363,088.59
  6. Step 6: Final answer
    x = 290,657.00

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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.