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Finding the Fourth Proportional to 421,071.20, 581,071.28 and 230,080.50

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Solution

The fourth proportional to 421,071.20, 581,071.28 and 230,080.50 is: 317,507.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,071.20 : 581,071.28 = 230,080.50 : x
  2. Step 2: Convert to fraction form
    421,071.20/581,071.28 = 230,080.50/x
  3. Step 3: Cross multiply
    421,071.20x = 581,071.28 × 230,080.50
  4. Step 4: Simplify right side
    421,071.20x = 133,693,170,638.04
  5. Step 5: Solve for x
    x = 133,693,170,638.04/421,071.20
  6. Step 6: Final answer
    x = 317,507.28

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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.