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Finding the Fourth Proportional to 432,493.20, 596,841.48 and 241,506

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Solution

The fourth proportional to 432,493.20, 596,841.48 and 241,506 is: 333,278.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,493.20 : 596,841.48 = 241,506 : x
  2. Step 2: Convert to fraction form
    432,493.20/596,841.48 = 241,506/x
  3. Step 3: Cross multiply
    432,493.20x = 596,841.48 × 241,506
  4. Step 4: Simplify right side
    432,493.20x = 144,140,798,468.88
  5. Step 5: Solve for x
    x = 144,140,798,468.88/432,493.20
  6. Step 6: Final answer
    x = 333,278.76

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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.