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Finding the Fourth Proportional to 567,570.48, 851,443.20 and 193,506

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Solution

The fourth proportional to 567,570.48, 851,443.20 and 193,506 is: 290,288.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,570.48 : 851,443.20 = 193,506 : x
  2. Step 2: Convert to fraction form
    567,570.48/851,443.20 = 193,506/x
  3. Step 3: Cross multiply
    567,570.48x = 851,443.20 × 193,506
  4. Step 4: Simplify right side
    567,570.48x = 164,759,367,859.20
  5. Step 5: Solve for x
    x = 164,759,367,859.20/567,570.48
  6. Step 6: Final answer
    x = 290,288.83

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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.