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Finding the Fourth Proportional to 409,460.48, 565,056.64 and 237,411.84

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Solution

The fourth proportional to 409,460.48, 565,056.64 and 237,411.84 is: 327,629.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,460.48 : 565,056.64 = 237,411.84 : x
  2. Step 2: Convert to fraction form
    409,460.48/565,056.64 = 237,411.84/x
  3. Step 3: Cross multiply
    409,460.48x = 565,056.64 × 237,411.84
  4. Step 4: Simplify right side
    409,460.48x = 134,151,136,606.62
  5. Step 5: Solve for x
    x = 134,151,136,606.62/409,460.48
  6. Step 6: Final answer
    x = 327,629.02

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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.