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Finding the Fourth Proportional to 296,885.87, 409,746.28 and 188,000.15

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Solution

The fourth proportional to 296,885.87, 409,746.28 and 188,000.15 is: 259,467.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,885.87 : 409,746.28 = 188,000.15 : x
  2. Step 2: Convert to fraction form
    296,885.87/409,746.28 = 188,000.15/x
  3. Step 3: Cross multiply
    296,885.87x = 409,746.28 × 188,000.15
  4. Step 4: Simplify right side
    296,885.87x = 77,032,362,240.53
  5. Step 5: Solve for x
    x = 77,032,362,240.53/296,885.87
  6. Step 6: Final answer
    x = 259,467.93

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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.