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Finding the Fourth Proportional to 390,646.48, 539,102.76 and 220,906

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Solution

The fourth proportional to 390,646.48, 539,102.76 and 220,906 is: 304,856.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,646.48 : 539,102.76 = 220,906 : x
  2. Step 2: Convert to fraction form
    390,646.48/539,102.76 = 220,906/x
  3. Step 3: Cross multiply
    390,646.48x = 539,102.76 × 220,906
  4. Step 4: Simplify right side
    390,646.48x = 119,091,034,300.56
  5. Step 5: Solve for x
    x = 119,091,034,300.56/390,646.48
  6. Step 6: Final answer
    x = 304,856.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.