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Finding the Fourth Proportional to 462,133.80, 692,034.30 and 303,503.40

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Solution

The fourth proportional to 462,133.80, 692,034.30 and 303,503.40 is: 454,489.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,133.80 : 692,034.30 = 303,503.40 : x
  2. Step 2: Convert to fraction form
    462,133.80/692,034.30 = 303,503.40/x
  3. Step 3: Cross multiply
    462,133.80x = 692,034.30 × 303,503.40
  4. Step 4: Simplify right side
    462,133.80x = 210,034,762,966.62
  5. Step 5: Solve for x
    x = 210,034,762,966.62/462,133.80
  6. Step 6: Final answer
    x = 454,489.07

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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.