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Finding the Fourth Proportional to 462,002.40, 692,938.80 and 146,491.20

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Solution

The fourth proportional to 462,002.40, 692,938.80 and 146,491.20 is: 219,716.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,002.40 : 692,938.80 = 146,491.20 : x
  2. Step 2: Convert to fraction form
    462,002.40/692,938.80 = 146,491.20/x
  3. Step 3: Cross multiply
    462,002.40x = 692,938.80 × 146,491.20
  4. Step 4: Simplify right side
    462,002.40x = 101,509,436,338.56
  5. Step 5: Solve for x
    x = 101,509,436,338.56/462,002.40
  6. Step 6: Final answer
    x = 219,716.25

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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.