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Finding the Fourth Proportional to 301,513.99, 416,284.02 and 186,915.10

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Solution

The fourth proportional to 301,513.99, 416,284.02 and 186,915.10 is: 258,063.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,513.99 : 416,284.02 = 186,915.10 : x
  2. Step 2: Convert to fraction form
    301,513.99/416,284.02 = 186,915.10/x
  3. Step 3: Cross multiply
    301,513.99x = 416,284.02 × 186,915.10
  4. Step 4: Simplify right side
    301,513.99x = 77,809,769,226.70
  5. Step 5: Solve for x
    x = 77,809,769,226.70/301,513.99
  6. Step 6: Final answer
    x = 258,063.55

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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.