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Finding the Fourth Proportional to 402,902.64, 556,016.13 and 221,619.24

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Solution

The fourth proportional to 402,902.64, 556,016.13 and 221,619.24 is: 305,840.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,902.64 : 556,016.13 = 221,619.24 : x
  2. Step 2: Convert to fraction form
    402,902.64/556,016.13 = 221,619.24/x
  3. Step 3: Cross multiply
    402,902.64x = 556,016.13 × 221,619.24
  4. Step 4: Simplify right side
    402,902.64x = 123,223,872,158.34
  5. Step 5: Solve for x
    x = 123,223,872,158.34/402,902.64
  6. Step 6: Final answer
    x = 305,840.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.