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Finding the Fourth Proportional to 380,007.10, 524,363.70 and 218,914.30

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Solution

The fourth proportional to 380,007.10, 524,363.70 and 218,914.30 is: 302,075.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,007.10 : 524,363.70 = 218,914.30 : x
  2. Step 2: Convert to fraction form
    380,007.10/524,363.70 = 218,914.30/x
  3. Step 3: Cross multiply
    380,007.10x = 524,363.70 × 218,914.30
  4. Step 4: Simplify right side
    380,007.10x = 114,790,712,330.91
  5. Step 5: Solve for x
    x = 114,790,712,330.91/380,007.10
  6. Step 6: Final answer
    x = 302,075.18

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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.