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Finding the Fourth Proportional to 464,351.66, 696,596.71 and 164,807.15

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Solution

The fourth proportional to 464,351.66, 696,596.71 and 164,807.15 is: 247,235.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,351.66 : 696,596.71 = 164,807.15 : x
  2. Step 2: Convert to fraction form
    464,351.66/696,596.71 = 164,807.15/x
  3. Step 3: Cross multiply
    464,351.66x = 696,596.71 × 164,807.15
  4. Step 4: Simplify right side
    464,351.66x = 114,804,118,474.48
  5. Step 5: Solve for x
    x = 114,804,118,474.48/464,351.66
  6. Step 6: Final answer
    x = 247,235.29

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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.