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Finding the Fourth Proportional to 467,472.88, 701,831.58 and 316,178.20

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Solution

The fourth proportional to 467,472.88, 701,831.58 and 316,178.20 is: 474,688.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,472.88 : 701,831.58 = 316,178.20 : x
  2. Step 2: Convert to fraction form
    467,472.88/701,831.58 = 316,178.20/x
  3. Step 3: Cross multiply
    467,472.88x = 701,831.58 × 316,178.20
  4. Step 4: Simplify right side
    467,472.88x = 221,903,845,667.56
  5. Step 5: Solve for x
    x = 221,903,845,667.56/467,472.88
  6. Step 6: Final answer
    x = 474,688.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.