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Finding the Fourth Proportional to 462,352, 693,528 and 129,928

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Solution

The fourth proportional to 462,352, 693,528 and 129,928 is: 194,892

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,352 : 693,528 = 129,928 : x
  2. Step 2: Convert to fraction form
    462,352/693,528 = 129,928/x
  3. Step 3: Cross multiply
    462,352x = 693,528 × 129,928
  4. Step 4: Simplify right side
    462,352x = 90,108,705,984
  5. Step 5: Solve for x
    x = 90,108,705,984/462,352
  6. Step 6: Final answer
    x = 194,892

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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.