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Finding the Fourth Proportional to 497,553.12, 686,608.56 and 282,712.80

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Solution

The fourth proportional to 497,553.12, 686,608.56 and 282,712.80 is: 390,135.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,553.12 : 686,608.56 = 282,712.80 : x
  2. Step 2: Convert to fraction form
    497,553.12/686,608.56 = 282,712.80/x
  3. Step 3: Cross multiply
    497,553.12x = 686,608.56 × 282,712.80
  4. Step 4: Simplify right side
    497,553.12x = 194,113,028,501.57
  5. Step 5: Solve for x
    x = 194,113,028,501.57/497,553.12
  6. Step 6: Final answer
    x = 390,135.29

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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.