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Finding the Fourth Proportional to 592,089.76, 817,090.32 and 323,812

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Solution

The fourth proportional to 592,089.76, 817,090.32 and 323,812 is: 446,864.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,089.76 : 817,090.32 = 323,812 : x
  2. Step 2: Convert to fraction form
    592,089.76/817,090.32 = 323,812/x
  3. Step 3: Cross multiply
    592,089.76x = 817,090.32 × 323,812
  4. Step 4: Simplify right side
    592,089.76x = 264,583,650,699.84
  5. Step 5: Solve for x
    x = 264,583,650,699.84/592,089.76
  6. Step 6: Final answer
    x = 446,864.09

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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.