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Finding the Fourth Proportional to 409,996.34, 565,809 and 237,901.34

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Solution

The fourth proportional to 409,996.34, 565,809 and 237,901.34 is: 328,312.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,996.34 : 565,809 = 237,901.34 : x
  2. Step 2: Convert to fraction form
    409,996.34/565,809 = 237,901.34/x
  3. Step 3: Cross multiply
    409,996.34x = 565,809 × 237,901.34
  4. Step 4: Simplify right side
    409,996.34x = 134,606,719,284.06
  5. Step 5: Solve for x
    x = 134,606,719,284.06/409,996.34
  6. Step 6: Final answer
    x = 328,312.00

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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.