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Finding the Fourth Proportional to 515,655.46, 711,647.40 and 286,234.30

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Solution

The fourth proportional to 515,655.46, 711,647.40 and 286,234.30 is: 395,027.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,655.46 : 711,647.40 = 286,234.30 : x
  2. Step 2: Convert to fraction form
    515,655.46/711,647.40 = 286,234.30/x
  3. Step 3: Cross multiply
    515,655.46x = 711,647.40 × 286,234.30
  4. Step 4: Simplify right side
    515,655.46x = 203,697,895,385.82
  5. Step 5: Solve for x
    x = 203,697,895,385.82/515,655.46
  6. Step 6: Final answer
    x = 395,027.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.