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Finding the Fourth Proportional to 515,436.96, 711,289.28 and 282,863.20

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Solution

The fourth proportional to 515,436.96, 711,289.28 and 282,863.20 is: 390,343.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,436.96 : 711,289.28 = 282,863.20 : x
  2. Step 2: Convert to fraction form
    515,436.96/711,289.28 = 282,863.20/x
  3. Step 3: Cross multiply
    515,436.96x = 711,289.28 × 282,863.20
  4. Step 4: Simplify right side
    515,436.96x = 201,197,561,866.50
  5. Step 5: Solve for x
    x = 201,197,561,866.50/515,436.96
  6. Step 6: Final answer
    x = 390,343.68

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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.