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Finding the Fourth Proportional to 497,574.17, 686,652.39 and 271,219.67

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Solution

The fourth proportional to 497,574.17, 686,652.39 and 271,219.67 is: 374,283.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,574.17 : 686,652.39 = 271,219.67 : x
  2. Step 2: Convert to fraction form
    497,574.17/686,652.39 = 271,219.67/x
  3. Step 3: Cross multiply
    497,574.17x = 686,652.39 × 271,219.67
  4. Step 4: Simplify right side
    497,574.17x = 186,233,631,830.99
  5. Step 5: Solve for x
    x = 186,233,631,830.99/497,574.17
  6. Step 6: Final answer
    x = 374,283.16

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Why These Related Problems?

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