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Finding the Fourth Proportional to 464,066.82, 695,903.40 and 164,622.78

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Solution

The fourth proportional to 464,066.82, 695,903.40 and 164,622.78 is: 246,864.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,066.82 : 695,903.40 = 164,622.78 : x
  2. Step 2: Convert to fraction form
    464,066.82/695,903.40 = 164,622.78/x
  3. Step 3: Cross multiply
    464,066.82x = 695,903.40 × 164,622.78
  4. Step 4: Simplify right side
    464,066.82x = 114,561,552,319.45
  5. Step 5: Solve for x
    x = 114,561,552,319.45/464,066.82
  6. Step 6: Final answer
    x = 246,864.35

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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.