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Finding the Fourth Proportional to 308,947.60, 463,421.40 and 109,266.40

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Solution

The fourth proportional to 308,947.60, 463,421.40 and 109,266.40 is: 163,899.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,947.60 : 463,421.40 = 109,266.40 : x
  2. Step 2: Convert to fraction form
    308,947.60/463,421.40 = 109,266.40/x
  3. Step 3: Cross multiply
    308,947.60x = 463,421.40 × 109,266.40
  4. Step 4: Simplify right side
    308,947.60x = 50,636,388,060.96
  5. Step 5: Solve for x
    x = 50,636,388,060.96/308,947.60
  6. Step 6: Final answer
    x = 163,899.60

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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.