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Finding the Fourth Proportional to 301,860.40, 416,547.20 and 165,891.40

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Solution

The fourth proportional to 301,860.40, 416,547.20 and 165,891.40 is: 228,919.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,860.40 : 416,547.20 = 165,891.40 : x
  2. Step 2: Convert to fraction form
    301,860.40/416,547.20 = 165,891.40/x
  3. Step 3: Cross multiply
    301,860.40x = 416,547.20 × 165,891.40
  4. Step 4: Simplify right side
    301,860.40x = 69,101,598,174.08
  5. Step 5: Solve for x
    x = 69,101,598,174.08/301,860.40
  6. Step 6: Final answer
    x = 228,919.06

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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.