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Finding the Fourth Proportional to 382,271.13, 527,547.69 and 210,202.20

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Solution

The fourth proportional to 382,271.13, 527,547.69 and 210,202.20 is: 290,086.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,271.13 : 527,547.69 = 210,202.20 : x
  2. Step 2: Convert to fraction form
    382,271.13/527,547.69 = 210,202.20/x
  3. Step 3: Cross multiply
    382,271.13x = 527,547.69 × 210,202.20
  4. Step 4: Simplify right side
    382,271.13x = 110,891,685,042.92
  5. Step 5: Solve for x
    x = 110,891,685,042.92/382,271.13
  6. Step 6: Final answer
    x = 290,086.48

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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.