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Finding the Fourth Proportional to 337,681.14, 506,157.21 and 219,437.34

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Solution

The fourth proportional to 337,681.14, 506,157.21 and 219,437.34 is: 328,919.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,681.14 : 506,157.21 = 219,437.34 : x
  2. Step 2: Convert to fraction form
    337,681.14/506,157.21 = 219,437.34/x
  3. Step 3: Cross multiply
    337,681.14x = 506,157.21 × 219,437.34
  4. Step 4: Simplify right side
    337,681.14x = 111,069,791,784.22
  5. Step 5: Solve for x
    x = 111,069,791,784.22/337,681.14
  6. Step 6: Final answer
    x = 328,919.14

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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.