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Finding the Fourth Proportional to 341,284.68, 470,878.38 and 220,431.06

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Solution

The fourth proportional to 341,284.68, 470,878.38 and 220,431.06 is: 304,133.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,284.68 : 470,878.38 = 220,431.06 : x
  2. Step 2: Convert to fraction form
    341,284.68/470,878.38 = 220,431.06/x
  3. Step 3: Cross multiply
    341,284.68x = 470,878.38 × 220,431.06
  4. Step 4: Simplify right side
    341,284.68x = 103,796,220,434.48
  5. Step 5: Solve for x
    x = 103,796,220,434.48/341,284.68
  6. Step 6: Final answer
    x = 304,133.84

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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.