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Finding the Fourth Proportional to 301,878.62, 416,153.49 and 210,952.37

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Solution

The fourth proportional to 301,878.62, 416,153.49 and 210,952.37 is: 290,807.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,878.62 : 416,153.49 = 210,952.37 : x
  2. Step 2: Convert to fraction form
    301,878.62/416,153.49 = 210,952.37/x
  3. Step 3: Cross multiply
    301,878.62x = 416,153.49 × 210,952.37
  4. Step 4: Simplify right side
    301,878.62x = 87,788,562,918.50
  5. Step 5: Solve for x
    x = 87,788,562,918.50/301,878.62
  6. Step 6: Final answer
    x = 290,807.49

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1.5x scale

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.