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Finding the Fourth Proportional to 647,762.77, 971,609.12 and 198,484.93

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Solution

The fourth proportional to 647,762.77, 971,609.12 and 198,484.93 is: 297,716.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,762.77 : 971,609.12 = 198,484.93 : x
  2. Step 2: Convert to fraction form
    647,762.77/971,609.12 = 198,484.93/x
  3. Step 3: Cross multiply
    647,762.77x = 971,609.12 × 198,484.93
  4. Step 4: Simplify right side
    647,762.77x = 192,849,770,253.45
  5. Step 5: Solve for x
    x = 192,849,770,253.45/647,762.77
  6. Step 6: Final answer
    x = 297,716.66

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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.