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Finding the Fourth Proportional to 385,216.36, 578,053.02 and 174,851.24

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Solution

The fourth proportional to 385,216.36, 578,053.02 and 174,851.24 is: 262,380.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,216.36 : 578,053.02 = 174,851.24 : x
  2. Step 2: Convert to fraction form
    385,216.36/578,053.02 = 174,851.24/x
  3. Step 3: Cross multiply
    385,216.36x = 578,053.02 × 174,851.24
  4. Step 4: Simplify right side
    385,216.36x = 101,073,287,332.75
  5. Step 5: Solve for x
    x = 101,073,287,332.75/385,216.36
  6. Step 6: Final answer
    x = 262,380.57

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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.