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Finding the Fourth Proportional to 409,271.56, 565,028.86 and 271,637.14

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Solution

The fourth proportional to 409,271.56, 565,028.86 and 271,637.14 is: 375,014.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,271.56 : 565,028.86 = 271,637.14 : x
  2. Step 2: Convert to fraction form
    409,271.56/565,028.86 = 271,637.14/x
  3. Step 3: Cross multiply
    409,271.56x = 565,028.86 × 271,637.14
  4. Step 4: Simplify right side
    409,271.56x = 153,482,823,547.86
  5. Step 5: Solve for x
    x = 153,482,823,547.86/409,271.56
  6. Step 6: Final answer
    x = 375,014.63

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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.