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Finding the Fourth Proportional to 472,966, 652,706.88 and 258,119.84

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Solution

The fourth proportional to 472,966, 652,706.88 and 258,119.84 is: 356,212.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,966 : 652,706.88 = 258,119.84 : x
  2. Step 2: Convert to fraction form
    472,966/652,706.88 = 258,119.84/x
  3. Step 3: Cross multiply
    472,966x = 652,706.88 × 258,119.84
  4. Step 4: Simplify right side
    472,966x = 168,476,595,432.50
  5. Step 5: Solve for x
    x = 168,476,595,432.50/472,966
  6. Step 6: Final answer
    x = 356,212.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.