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Finding the Fourth Proportional to 409,641.47, 565,371.81 and 246,462.90

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Solution

The fourth proportional to 409,641.47, 565,371.81 and 246,462.90 is: 340,158.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,641.47 : 565,371.81 = 246,462.90 : x
  2. Step 2: Convert to fraction form
    409,641.47/565,371.81 = 246,462.90/x
  3. Step 3: Cross multiply
    409,641.47x = 565,371.81 × 246,462.90
  4. Step 4: Simplify right side
    409,641.47x = 139,343,179,214.21
  5. Step 5: Solve for x
    x = 139,343,179,214.21/409,641.47
  6. Step 6: Final answer
    x = 340,158.87

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1.5x scale

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.