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Finding the Fourth Proportional to 510,968.84, 766,543.32 and 211,281.50

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Solution

The fourth proportional to 510,968.84, 766,543.32 and 211,281.50 is: 316,959.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,968.84 : 766,543.32 = 211,281.50 : x
  2. Step 2: Convert to fraction form
    510,968.84/766,543.32 = 211,281.50/x
  3. Step 3: Cross multiply
    510,968.84x = 766,543.32 × 211,281.50
  4. Step 4: Simplify right side
    510,968.84x = 161,956,418,631.86
  5. Step 5: Solve for x
    x = 161,956,418,631.86/510,968.84
  6. Step 6: Final answer
    x = 316,959.48

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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.