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Finding the Fourth Proportional to 592,272, 817,354.80 and 324,000

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Solution

The fourth proportional to 592,272, 817,354.80 and 324,000 is: 447,130.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,272 : 817,354.80 = 324,000 : x
  2. Step 2: Convert to fraction form
    592,272/817,354.80 = 324,000/x
  3. Step 3: Cross multiply
    592,272x = 817,354.80 × 324,000
  4. Step 4: Simplify right side
    592,272x = 264,822,955,200
  5. Step 5: Solve for x
    x = 264,822,955,200/592,272
  6. Step 6: Final answer
    x = 447,130.63

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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.