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Finding the Fourth Proportional to 409,269.58, 564,783.51 and 227,981.26

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Solution

The fourth proportional to 409,269.58, 564,783.51 and 227,981.26 is: 314,609.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,269.58 : 564,783.51 = 227,981.26 : x
  2. Step 2: Convert to fraction form
    409,269.58/564,783.51 = 227,981.26/x
  3. Step 3: Cross multiply
    409,269.58x = 564,783.51 × 227,981.26
  4. Step 4: Simplify right side
    409,269.58x = 128,760,056,237.02
  5. Step 5: Solve for x
    x = 128,760,056,237.02/409,269.58
  6. Step 6: Final answer
    x = 314,609.40

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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.