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Finding the Fourth Proportional to 409,316.88, 564,857.62 and 228,029.24

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Solution

The fourth proportional to 409,316.88, 564,857.62 and 228,029.24 is: 314,680.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,316.88 : 564,857.62 = 228,029.24 : x
  2. Step 2: Convert to fraction form
    409,316.88/564,857.62 = 228,029.24/x
  3. Step 3: Cross multiply
    409,316.88x = 564,857.62 × 228,029.24
  4. Step 4: Simplify right side
    409,316.88x = 128,804,051,244.52
  5. Step 5: Solve for x
    x = 128,804,051,244.52/409,316.88
  6. Step 6: Final answer
    x = 314,680.52

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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.