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Finding the Fourth Proportional to 308,271.10, 462,406.65 and 97,930.30

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Solution

The fourth proportional to 308,271.10, 462,406.65 and 97,930.30 is: 146,895.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,271.10 : 462,406.65 = 97,930.30 : x
  2. Step 2: Convert to fraction form
    308,271.10/462,406.65 = 97,930.30/x
  3. Step 3: Cross multiply
    308,271.10x = 462,406.65 × 97,930.30
  4. Step 4: Simplify right side
    308,271.10x = 45,283,621,956.50
  5. Step 5: Solve for x
    x = 45,283,621,956.50/308,271.10
  6. Step 6: Final answer
    x = 146,895.45

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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.