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Finding the Fourth Proportional to 472,974, 652,698.60 and 258,117.68

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Solution

The fourth proportional to 472,974, 652,698.60 and 258,117.68 is: 356,199.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,974 : 652,698.60 = 258,117.68 : x
  2. Step 2: Convert to fraction form
    472,974/652,698.60 = 258,117.68/x
  3. Step 3: Cross multiply
    472,974x = 652,698.60 × 258,117.68
  4. Step 4: Simplify right side
    472,974x = 168,473,048,371.25
  5. Step 5: Solve for x
    x = 168,473,048,371.25/472,974
  6. Step 6: Final answer
    x = 356,199.39

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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.