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Finding the Fourth Proportional to 409,130.56, 564,595.62 and 227,838.52

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Solution

The fourth proportional to 409,130.56, 564,595.62 and 227,838.52 is: 314,414.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,130.56 : 564,595.62 = 227,838.52 : x
  2. Step 2: Convert to fraction form
    409,130.56/564,595.62 = 227,838.52/x
  3. Step 3: Cross multiply
    409,130.56x = 564,595.62 × 227,838.52
  4. Step 4: Simplify right side
    409,130.56x = 128,636,630,459.28
  5. Step 5: Solve for x
    x = 128,636,630,459.28/409,130.56
  6. Step 6: Final answer
    x = 314,414.62

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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.