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Finding the Fourth Proportional to 385,340.64, 578,177.01 and 160,745.31

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Solution

The fourth proportional to 385,340.64, 578,177.01 and 160,745.31 is: 241,187.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,340.64 : 578,177.01 = 160,745.31 : x
  2. Step 2: Convert to fraction form
    385,340.64/578,177.01 = 160,745.31/x
  3. Step 3: Cross multiply
    385,340.64x = 578,177.01 × 160,745.31
  4. Step 4: Simplify right side
    385,340.64x = 92,939,242,707.32
  5. Step 5: Solve for x
    x = 92,939,242,707.32/385,340.64
  6. Step 6: Final answer
    x = 241,187.23

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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.