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Finding the Fourth Proportional to 469,155.15, 647,503.26 and 297,088.83

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Solution

The fourth proportional to 469,155.15, 647,503.26 and 297,088.83 is: 410,026.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,155.15 : 647,503.26 = 297,088.83 : x
  2. Step 2: Convert to fraction form
    469,155.15/647,503.26 = 297,088.83/x
  3. Step 3: Cross multiply
    469,155.15x = 647,503.26 × 297,088.83
  4. Step 4: Simplify right side
    469,155.15x = 192,365,985,934.59
  5. Step 5: Solve for x
    x = 192,365,985,934.59/469,155.15
  6. Step 6: Final answer
    x = 410,026.38

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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.