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Finding the Fourth Proportional to 650,096.10, 974,852.55 and 294,927.30

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Solution

The fourth proportional to 650,096.10, 974,852.55 and 294,927.30 is: 442,258.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,096.10 : 974,852.55 = 294,927.30 : x
  2. Step 2: Convert to fraction form
    650,096.10/974,852.55 = 294,927.30/x
  3. Step 3: Cross multiply
    650,096.10x = 974,852.55 × 294,927.30
  4. Step 4: Simplify right side
    650,096.10x = 287,510,630,469.62
  5. Step 5: Solve for x
    x = 287,510,630,469.62/650,096.10
  6. Step 6: Final answer
    x = 442,258.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.