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Finding the Fourth Proportional to 456,199.74, 684,065.97 and 243,089.10

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Solution

The fourth proportional to 456,199.74, 684,065.97 and 243,089.10 is: 364,509.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,199.74 : 684,065.97 = 243,089.10 : x
  2. Step 2: Convert to fraction form
    456,199.74/684,065.97 = 243,089.10/x
  3. Step 3: Cross multiply
    456,199.74x = 684,065.97 × 243,089.10
  4. Step 4: Simplify right side
    456,199.74x = 166,288,980,987.93
  5. Step 5: Solve for x
    x = 166,288,980,987.93/456,199.74
  6. Step 6: Final answer
    x = 364,509.15

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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.