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Finding the Fourth Proportional to 515,509.66, 711,401.88 and 286,101.58

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Solution

The fourth proportional to 515,509.66, 711,401.88 and 286,101.58 is: 394,819.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,509.66 : 711,401.88 = 286,101.58 : x
  2. Step 2: Convert to fraction form
    515,509.66/711,401.88 = 286,101.58/x
  3. Step 3: Cross multiply
    515,509.66x = 711,401.88 × 286,101.58
  4. Step 4: Simplify right side
    515,509.66x = 203,533,201,882.97
  5. Step 5: Solve for x
    x = 203,533,201,882.97/515,509.66
  6. Step 6: Final answer
    x = 394,819.38

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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.