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Finding the Fourth Proportional to 472,968.51, 652,710.30 and 258,122.40

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Solution

The fourth proportional to 472,968.51, 652,710.30 and 258,122.40 is: 356,216.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,968.51 : 652,710.30 = 258,122.40 : x
  2. Step 2: Convert to fraction form
    472,968.51/652,710.30 = 258,122.40/x
  3. Step 3: Cross multiply
    472,968.51x = 652,710.30 × 258,122.40
  4. Step 4: Simplify right side
    472,968.51x = 168,479,149,140.72
  5. Step 5: Solve for x
    x = 168,479,149,140.72/472,968.51
  6. Step 6: Final answer
    x = 356,216.42

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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.