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Finding the Fourth Proportional to 464,342.91, 696,583.56 and 164,798.40

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Solution

The fourth proportional to 464,342.91, 696,583.56 and 164,798.40 is: 247,222.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,342.91 : 696,583.56 = 164,798.40 : x
  2. Step 2: Convert to fraction form
    464,342.91/696,583.56 = 164,798.40/x
  3. Step 3: Cross multiply
    464,342.91x = 696,583.56 × 164,798.40
  4. Step 4: Simplify right side
    464,342.91x = 114,795,859,700.46
  5. Step 5: Solve for x
    x = 114,795,859,700.46/464,342.91
  6. Step 6: Final answer
    x = 247,222.17

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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.