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Finding the Fourth Proportional to 345,746, 518,706.52 and 96,428

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Solution

The fourth proportional to 345,746, 518,706.52 and 96,428 is: 144,666.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,746 : 518,706.52 = 96,428 : x
  2. Step 2: Convert to fraction form
    345,746/518,706.52 = 96,428/x
  3. Step 3: Cross multiply
    345,746x = 518,706.52 × 96,428
  4. Step 4: Simplify right side
    345,746x = 50,017,832,310.56
  5. Step 5: Solve for x
    x = 50,017,832,310.56/345,746
  6. Step 6: Final answer
    x = 144,666.41

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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.