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Finding the Fourth Proportional to 469,894.02, 704,841.02 and 114,903.82

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Solution

The fourth proportional to 469,894.02, 704,841.02 and 114,903.82 is: 172,355.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,894.02 : 704,841.02 = 114,903.82 : x
  2. Step 2: Convert to fraction form
    469,894.02/704,841.02 = 114,903.82/x
  3. Step 3: Cross multiply
    469,894.02x = 704,841.02 × 114,903.82
  4. Step 4: Simplify right side
    469,894.02x = 80,988,925,690.70
  5. Step 5: Solve for x
    x = 80,988,925,690.70/469,894.02
  6. Step 6: Final answer
    x = 172,355.73

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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.