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Finding the Fourth Proportional to 549,610.20, 824,415.30 and 456,298.20

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Solution

The fourth proportional to 549,610.20, 824,415.30 and 456,298.20 is: 684,447.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,610.20 : 824,415.30 = 456,298.20 : x
  2. Step 2: Convert to fraction form
    549,610.20/824,415.30 = 456,298.20/x
  3. Step 3: Cross multiply
    549,610.20x = 824,415.30 × 456,298.20
  4. Step 4: Simplify right side
    549,610.20x = 376,179,217,442.46
  5. Step 5: Solve for x
    x = 376,179,217,442.46/549,610.20
  6. Step 6: Final answer
    x = 684,447.30

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