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Finding the Fourth Proportional to 310,923.96, 466,385.04 and 97,707.66

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Solution

The fourth proportional to 310,923.96, 466,385.04 and 97,707.66 is: 146,561.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,923.96 : 466,385.04 = 97,707.66 : x
  2. Step 2: Convert to fraction form
    310,923.96/466,385.04 = 97,707.66/x
  3. Step 3: Cross multiply
    310,923.96x = 466,385.04 × 97,707.66
  4. Step 4: Simplify right side
    310,923.96x = 45,569,390,917.41
  5. Step 5: Solve for x
    x = 45,569,390,917.41/310,923.96
  6. Step 6: Final answer
    x = 146,561.21

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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.