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Finding the Fourth Proportional to 464,667.84, 697,009.46 and 127,706.40

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Solution

The fourth proportional to 464,667.84, 697,009.46 and 127,706.40 is: 191,561.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,667.84 : 697,009.46 = 127,706.40 : x
  2. Step 2: Convert to fraction form
    464,667.84/697,009.46 = 127,706.40/x
  3. Step 3: Cross multiply
    464,667.84x = 697,009.46 × 127,706.40
  4. Step 4: Simplify right side
    464,667.84x = 89,012,568,264.01
  5. Step 5: Solve for x
    x = 89,012,568,264.01/464,667.84
  6. Step 6: Final answer
    x = 191,561.71

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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.