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Finding the Fourth Proportional to 432,497.20, 596,847 and 241,510

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Solution

The fourth proportional to 432,497.20, 596,847 and 241,510 is: 333,284.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,497.20 : 596,847 = 241,510 : x
  2. Step 2: Convert to fraction form
    432,497.20/596,847 = 241,510/x
  3. Step 3: Cross multiply
    432,497.20x = 596,847 × 241,510
  4. Step 4: Simplify right side
    432,497.20x = 144,144,518,970
  5. Step 5: Solve for x
    x = 144,144,518,970/432,497.20
  6. Step 6: Final answer
    x = 333,284.28

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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.