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Finding the Fourth Proportional to 691,490, 1,037,410.04 and 192,854

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Solution

The fourth proportional to 691,490, 1,037,410.04 and 192,854 is: 289,329.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,490 : 1,037,410.04 = 192,854 : x
  2. Step 2: Convert to fraction form
    691,490/1,037,410.04 = 192,854/x
  3. Step 3: Cross multiply
    691,490x = 1,037,410.04 × 192,854
  4. Step 4: Simplify right side
    691,490x = 200,068,675,854.16
  5. Step 5: Solve for x
    x = 200,068,675,854.16/691,490
  6. Step 6: Final answer
    x = 289,329.82

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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.