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Finding the Fourth Proportional to 515,883.68, 711,909.51 and 286,429.11

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Solution

The fourth proportional to 515,883.68, 711,909.51 and 286,429.11 is: 395,266.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,883.68 : 711,909.51 = 286,429.11 : x
  2. Step 2: Convert to fraction form
    515,883.68/711,909.51 = 286,429.11/x
  3. Step 3: Cross multiply
    515,883.68x = 711,909.51 × 286,429.11
  4. Step 4: Simplify right side
    515,883.68x = 203,911,607,610.56
  5. Step 5: Solve for x
    x = 203,911,607,610.56/515,883.68
  6. Step 6: Final answer
    x = 395,266.63

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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.