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Finding the Fourth Proportional to 310,911.10, 466,366.65 and 100,570.30

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Solution

The fourth proportional to 310,911.10, 466,366.65 and 100,570.30 is: 150,855.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,911.10 : 466,366.65 = 100,570.30 : x
  2. Step 2: Convert to fraction form
    310,911.10/466,366.65 = 100,570.30/x
  3. Step 3: Cross multiply
    310,911.10x = 466,366.65 × 100,570.30
  4. Step 4: Simplify right side
    310,911.10x = 46,902,633,900.50
  5. Step 5: Solve for x
    x = 46,902,633,900.50/310,911.10
  6. Step 6: Final answer
    x = 150,855.45

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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.