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Finding the Fourth Proportional to 310,672.70, 466,014.71 and 97,435.85

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Solution

The fourth proportional to 310,672.70, 466,014.71 and 97,435.85 is: 146,155.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,672.70 : 466,014.71 = 97,435.85 : x
  2. Step 2: Convert to fraction form
    310,672.70/466,014.71 = 97,435.85/x
  3. Step 3: Cross multiply
    310,672.70x = 466,014.71 × 97,435.85
  4. Step 4: Simplify right side
    310,672.70x = 45,406,536,564.10
  5. Step 5: Solve for x
    x = 45,406,536,564.10/310,672.70
  6. Step 6: Final answer
    x = 146,155.54

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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.