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Finding the Fourth Proportional to 583,296, 875,099.52 and 287,808

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Solution

The fourth proportional to 583,296, 875,099.52 and 287,808 is: 431,788.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,296 : 875,099.52 = 287,808 : x
  2. Step 2: Convert to fraction form
    583,296/875,099.52 = 287,808/x
  3. Step 3: Cross multiply
    583,296x = 875,099.52 × 287,808
  4. Step 4: Simplify right side
    583,296x = 251,860,642,652.16
  5. Step 5: Solve for x
    x = 251,860,642,652.16/583,296
  6. Step 6: Final answer
    x = 431,788.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.