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Finding the Fourth Proportional to 602,346.20, 831,263.82 and 360,582

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Solution

The fourth proportional to 602,346.20, 831,263.82 and 360,582 is: 497,618.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,346.20 : 831,263.82 = 360,582 : x
  2. Step 2: Convert to fraction form
    602,346.20/831,263.82 = 360,582/x
  3. Step 3: Cross multiply
    602,346.20x = 831,263.82 × 360,582
  4. Step 4: Simplify right side
    602,346.20x = 299,738,770,743.24
  5. Step 5: Solve for x
    x = 299,738,770,743.24/602,346.20
  6. Step 6: Final answer
    x = 497,618.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.