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Finding the Fourth Proportional to 294,608.15, 406,547.81 and 180,078.56

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Solution

The fourth proportional to 294,608.15, 406,547.81 and 180,078.56 is: 248,501.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,608.15 : 406,547.81 = 180,078.56 : x
  2. Step 2: Convert to fraction form
    294,608.15/406,547.81 = 180,078.56/x
  3. Step 3: Cross multiply
    294,608.15x = 406,547.81 × 180,078.56
  4. Step 4: Simplify right side
    294,608.15x = 73,210,542,193.92
  5. Step 5: Solve for x
    x = 73,210,542,193.92/294,608.15
  6. Step 6: Final answer
    x = 248,501.41

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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.