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Finding the Fourth Proportional to 515,523.10, 711,420.34 and 286,114.94

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Solution

The fourth proportional to 515,523.10, 711,420.34 and 286,114.94 is: 394,837.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,523.10 : 711,420.34 = 286,114.94 : x
  2. Step 2: Convert to fraction form
    515,523.10/711,420.34 = 286,114.94/x
  3. Step 3: Cross multiply
    515,523.10x = 711,420.34 × 286,114.94
  4. Step 4: Simplify right side
    515,523.10x = 203,547,987,893.88
  5. Step 5: Solve for x
    x = 203,547,987,893.88/515,523.10
  6. Step 6: Final answer
    x = 394,837.76

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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.