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Finding the Fourth Proportional to 469,637.66, 704,018.23 and 185,330.57

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Solution

The fourth proportional to 469,637.66, 704,018.23 and 185,330.57 is: 277,822.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,637.66 : 704,018.23 = 185,330.57 : x
  2. Step 2: Convert to fraction form
    469,637.66/704,018.23 = 185,330.57/x
  3. Step 3: Cross multiply
    469,637.66x = 704,018.23 × 185,330.57
  4. Step 4: Simplify right side
    469,637.66x = 130,476,099,856.29
  5. Step 5: Solve for x
    x = 130,476,099,856.29/469,637.66
  6. Step 6: Final answer
    x = 277,822.91

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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.