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Finding the Fourth Proportional to 362,315.92, 543,266.52 and 151,776.40

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Solution

The fourth proportional to 362,315.92, 543,266.52 and 151,776.40 is: 227,577.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,315.92 : 543,266.52 = 151,776.40 : x
  2. Step 2: Convert to fraction form
    362,315.92/543,266.52 = 151,776.40/x
  3. Step 3: Cross multiply
    362,315.92x = 543,266.52 × 151,776.40
  4. Step 4: Simplify right side
    362,315.92x = 82,455,036,646.13
  5. Step 5: Solve for x
    x = 82,455,036,646.13/362,315.92
  6. Step 6: Final answer
    x = 227,577.74

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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.