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Finding the Fourth Proportional to 304,124.43, 419,689.17 and 175,088.19

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Solution

The fourth proportional to 304,124.43, 419,689.17 and 175,088.19 is: 241,620.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,124.43 : 419,689.17 = 175,088.19 : x
  2. Step 2: Convert to fraction form
    304,124.43/419,689.17 = 175,088.19/x
  3. Step 3: Cross multiply
    304,124.43x = 419,689.17 × 175,088.19
  4. Step 4: Simplify right side
    304,124.43x = 73,482,617,137.90
  5. Step 5: Solve for x
    x = 73,482,617,137.90/304,124.43
  6. Step 6: Final answer
    x = 241,620.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.