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Finding the Fourth Proportional to 241,509.80, 362,264.70 and 202,435.40

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Solution

The fourth proportional to 241,509.80, 362,264.70 and 202,435.40 is: 303,653.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,509.80 : 362,264.70 = 202,435.40 : x
  2. Step 2: Convert to fraction form
    241,509.80/362,264.70 = 202,435.40/x
  3. Step 3: Cross multiply
    241,509.80x = 362,264.70 × 202,435.40
  4. Step 4: Simplify right side
    241,509.80x = 73,335,199,450.38
  5. Step 5: Solve for x
    x = 73,335,199,450.38/241,509.80
  6. Step 6: Final answer
    x = 303,653.10

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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.