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Finding the Fourth Proportional to 507,597.84, 761,353.20 and 207,992.88

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Solution

The fourth proportional to 507,597.84, 761,353.20 and 207,992.88 is: 311,971.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,597.84 : 761,353.20 = 207,992.88 : x
  2. Step 2: Convert to fraction form
    507,597.84/761,353.20 = 207,992.88/x
  3. Step 3: Cross multiply
    507,597.84x = 761,353.20 × 207,992.88
  4. Step 4: Simplify right side
    507,597.84x = 158,356,044,765.22
  5. Step 5: Solve for x
    x = 158,356,044,765.22/507,597.84
  6. Step 6: Final answer
    x = 311,971.47

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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.