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Finding the Fourth Proportional to 310,867.80, 466,301.70 and 305,683.80

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Solution

The fourth proportional to 310,867.80, 466,301.70 and 305,683.80 is: 458,525.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,867.80 : 466,301.70 = 305,683.80 : x
  2. Step 2: Convert to fraction form
    310,867.80/466,301.70 = 305,683.80/x
  3. Step 3: Cross multiply
    310,867.80x = 466,301.70 × 305,683.80
  4. Step 4: Simplify right side
    310,867.80x = 142,540,875,602.46
  5. Step 5: Solve for x
    x = 142,540,875,602.46/310,867.80
  6. Step 6: Final answer
    x = 458,525.70

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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.