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Finding the Fourth Proportional to 497,368.80, 686,368.80 and 271,014.12

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Solution

The fourth proportional to 497,368.80, 686,368.80 and 271,014.12 is: 373,999.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,368.80 : 686,368.80 = 271,014.12 : x
  2. Step 2: Convert to fraction form
    497,368.80/686,368.80 = 271,014.12/x
  3. Step 3: Cross multiply
    497,368.80x = 686,368.80 × 271,014.12
  4. Step 4: Simplify right side
    497,368.80x = 186,015,636,327.46
  5. Step 5: Solve for x
    x = 186,015,636,327.46/497,368.80
  6. Step 6: Final answer
    x = 373,999.41

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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.