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Finding the Fourth Proportional to 409,641.72, 565,372.16 and 246,463.16

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Solution

The fourth proportional to 409,641.72, 565,372.16 and 246,463.16 is: 340,159.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,641.72 : 565,372.16 = 246,463.16 : x
  2. Step 2: Convert to fraction form
    409,641.72/565,372.16 = 246,463.16/x
  3. Step 3: Cross multiply
    409,641.72x = 565,372.16 × 246,463.16
  4. Step 4: Simplify right side
    409,641.72x = 139,343,405,686.61
  5. Step 5: Solve for x
    x = 139,343,405,686.61/409,641.72
  6. Step 6: Final answer
    x = 340,159.22

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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.