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Finding the Fourth Proportional to 410,688.42, 566,693.98 and 229,377.21

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Solution

The fourth proportional to 410,688.42, 566,693.98 and 229,377.21 is: 316,509.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,688.42 : 566,693.98 = 229,377.21 : x
  2. Step 2: Convert to fraction form
    410,688.42/566,693.98 = 229,377.21/x
  3. Step 3: Cross multiply
    410,688.42x = 566,693.98 × 229,377.21
  4. Step 4: Simplify right side
    410,688.42x = 129,986,684,056.20
  5. Step 5: Solve for x
    x = 129,986,684,056.20/410,688.42
  6. Step 6: Final answer
    x = 316,509.25

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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.