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Finding the Fourth Proportional to 310,921.40, 466,151.70 and 210,831.80

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Solution

The fourth proportional to 310,921.40, 466,151.70 and 210,831.80 is: 316,091.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,921.40 : 466,151.70 = 210,831.80 : x
  2. Step 2: Convert to fraction form
    310,921.40/466,151.70 = 210,831.80/x
  3. Step 3: Cross multiply
    310,921.40x = 466,151.70 × 210,831.80
  4. Step 4: Simplify right side
    310,921.40x = 98,279,601,984.06
  5. Step 5: Solve for x
    x = 98,279,601,984.06/310,921.40
  6. Step 6: Final answer
    x = 316,091.47

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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.