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Finding the Fourth Proportional to 403,587.12, 605,098.80 and 178,825.50

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Solution

The fourth proportional to 403,587.12, 605,098.80 and 178,825.50 is: 268,113.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,587.12 : 605,098.80 = 178,825.50 : x
  2. Step 2: Convert to fraction form
    403,587.12/605,098.80 = 178,825.50/x
  3. Step 3: Cross multiply
    403,587.12x = 605,098.80 × 178,825.50
  4. Step 4: Simplify right side
    403,587.12x = 108,207,095,459.40
  5. Step 5: Solve for x
    x = 108,207,095,459.40/403,587.12
  6. Step 6: Final answer
    x = 268,113.35

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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.