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Finding the Fourth Proportional to 531,584.64, 733,717.44 and 410,541.48

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Solution

The fourth proportional to 531,584.64, 733,717.44 and 410,541.48 is: 566,648.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,584.64 : 733,717.44 = 410,541.48 : x
  2. Step 2: Convert to fraction form
    531,584.64/733,717.44 = 410,541.48/x
  3. Step 3: Cross multiply
    531,584.64x = 733,717.44 × 410,541.48
  4. Step 4: Simplify right side
    531,584.64x = 301,221,443,719.41
  5. Step 5: Solve for x
    x = 301,221,443,719.41/531,584.64
  6. Step 6: Final answer
    x = 566,648.13

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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.