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Finding the Fourth Proportional to 497,681.57, 686,800.16 and 271,327.07

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Solution

The fourth proportional to 497,681.57, 686,800.16 and 271,327.07 is: 374,431.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,681.57 : 686,800.16 = 271,327.07 : x
  2. Step 2: Convert to fraction form
    497,681.57/686,800.16 = 271,327.07/x
  3. Step 3: Cross multiply
    497,681.57x = 686,800.16 × 271,327.07
  4. Step 4: Simplify right side
    497,681.57x = 186,347,470,297.70
  5. Step 5: Solve for x
    x = 186,347,470,297.70/497,681.57
  6. Step 6: Final answer
    x = 374,431.13

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1.5x scale

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.