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Finding the Fourth Proportional to 469,637.72, 704,018.32 and 185,330.64

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Solution

The fourth proportional to 469,637.72, 704,018.32 and 185,330.64 is: 277,823.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,637.72 : 704,018.32 = 185,330.64 : x
  2. Step 2: Convert to fraction form
    469,637.72/704,018.32 = 185,330.64/x
  3. Step 3: Cross multiply
    469,637.72x = 704,018.32 × 185,330.64
  4. Step 4: Simplify right side
    469,637.72x = 130,476,165,817.33
  5. Step 5: Solve for x
    x = 130,476,165,817.33/469,637.72
  6. Step 6: Final answer
    x = 277,823.01

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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.