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Finding the Fourth Proportional to 462,720.45, 692,828.50 and 302,396.94

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Solution

The fourth proportional to 462,720.45, 692,828.50 and 302,396.94 is: 452,777.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,720.45 : 692,828.50 = 302,396.94 : x
  2. Step 2: Convert to fraction form
    462,720.45/692,828.50 = 302,396.94/x
  3. Step 3: Cross multiply
    462,720.45x = 692,828.50 × 302,396.94
  4. Step 4: Simplify right side
    462,720.45x = 209,509,218,344.79
  5. Step 5: Solve for x
    x = 209,509,218,344.79/462,720.45
  6. Step 6: Final answer
    x = 452,777.09

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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.