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Finding the Fourth Proportional to 337,460.16, 506,190.72 and 100,784.24

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Solution

The fourth proportional to 337,460.16, 506,190.72 and 100,784.24 is: 151,176.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,460.16 : 506,190.72 = 100,784.24 : x
  2. Step 2: Convert to fraction form
    337,460.16/506,190.72 = 100,784.24/x
  3. Step 3: Cross multiply
    337,460.16x = 506,190.72 × 100,784.24
  4. Step 4: Simplify right side
    337,460.16x = 51,016,047,010.25
  5. Step 5: Solve for x
    x = 51,016,047,010.25/337,460.16
  6. Step 6: Final answer
    x = 151,176.50

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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.