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Finding the Fourth Proportional to 294,011.60, 405,708.36 and 203,464.40

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Solution

The fourth proportional to 294,011.60, 405,708.36 and 203,464.40 is: 280,761.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,011.60 : 405,708.36 = 203,464.40 : x
  2. Step 2: Convert to fraction form
    294,011.60/405,708.36 = 203,464.40/x
  3. Step 3: Cross multiply
    294,011.60x = 405,708.36 × 203,464.40
  4. Step 4: Simplify right side
    294,011.60x = 82,547,208,042.38
  5. Step 5: Solve for x
    x = 82,547,208,042.38/294,011.60
  6. Step 6: Final answer
    x = 280,761.74

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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.