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Finding the Fourth Proportional to 462,717.45, 692,824.01 and 302,393.94

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Solution

The fourth proportional to 462,717.45, 692,824.01 and 302,393.94 is: 452,772.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,717.45 : 692,824.01 = 302,393.94 : x
  2. Step 2: Convert to fraction form
    462,717.45/692,824.01 = 302,393.94/x
  3. Step 3: Cross multiply
    462,717.45x = 692,824.01 × 302,393.94
  4. Step 4: Simplify right side
    462,717.45x = 209,505,780,598.53
  5. Step 5: Solve for x
    x = 209,505,780,598.53/462,717.45
  6. Step 6: Final answer
    x = 452,772.60

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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.