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Finding the Fourth Proportional to 310,928.91, 466,156.35 and 97,573.77

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Solution

The fourth proportional to 310,928.91, 466,156.35 and 97,573.77 is: 146,286.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,928.91 : 466,156.35 = 97,573.77 : x
  2. Step 2: Convert to fraction form
    310,928.91/466,156.35 = 97,573.77/x
  3. Step 3: Cross multiply
    310,928.91x = 466,156.35 × 97,573.77
  4. Step 4: Simplify right side
    310,928.91x = 45,484,632,478.94
  5. Step 5: Solve for x
    x = 45,484,632,478.94/310,928.91
  6. Step 6: Final answer
    x = 146,286.28

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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.