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Finding the Fourth Proportional to 403,214.10, 604,821.15 and 166,434.90

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Solution

The fourth proportional to 403,214.10, 604,821.15 and 166,434.90 is: 249,652.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,214.10 : 604,821.15 = 166,434.90 : x
  2. Step 2: Convert to fraction form
    403,214.10/604,821.15 = 166,434.90/x
  3. Step 3: Cross multiply
    403,214.10x = 604,821.15 × 166,434.90
  4. Step 4: Simplify right side
    403,214.10x = 100,663,347,618.14
  5. Step 5: Solve for x
    x = 100,663,347,618.14/403,214.10
  6. Step 6: Final answer
    x = 249,652.35

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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.