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Finding the Fourth Proportional to 348,702.48, 523,053.72 and 99,378

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Solution

The fourth proportional to 348,702.48, 523,053.72 and 99,378 is: 149,067

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,702.48 : 523,053.72 = 99,378 : x
  2. Step 2: Convert to fraction form
    348,702.48/523,053.72 = 99,378/x
  3. Step 3: Cross multiply
    348,702.48x = 523,053.72 × 99,378
  4. Step 4: Simplify right side
    348,702.48x = 51,980,032,586.16
  5. Step 5: Solve for x
    x = 51,980,032,586.16/348,702.48
  6. Step 6: Final answer
    x = 149,067

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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.