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Finding the Fourth Proportional to 435,464.94, 653,411.41 and 195,748.19

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Solution

The fourth proportional to 435,464.94, 653,411.41 and 195,748.19 is: 293,718.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,464.94 : 653,411.41 = 195,748.19 : x
  2. Step 2: Convert to fraction form
    435,464.94/653,411.41 = 195,748.19/x
  3. Step 3: Cross multiply
    435,464.94x = 653,411.41 × 195,748.19
  4. Step 4: Simplify right side
    435,464.94x = 127,904,103,202.15
  5. Step 5: Solve for x
    x = 127,904,103,202.15/435,464.94
  6. Step 6: Final answer
    x = 293,718.49

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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.