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Finding the Fourth Proportional to 519,114, 716,378.28 and 280,650

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Solution

The fourth proportional to 519,114, 716,378.28 and 280,650 is: 387,297.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,114 : 716,378.28 = 280,650 : x
  2. Step 2: Convert to fraction form
    519,114/716,378.28 = 280,650/x
  3. Step 3: Cross multiply
    519,114x = 716,378.28 × 280,650
  4. Step 4: Simplify right side
    519,114x = 201,051,564,282
  5. Step 5: Solve for x
    x = 201,051,564,282/519,114
  6. Step 6: Final answer
    x = 387,297.52

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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.