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Finding the Fourth Proportional to 476,078.31, 714,240.48 and 176,644.29

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Solution

The fourth proportional to 476,078.31, 714,240.48 and 176,644.29 is: 265,012.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,078.31 : 714,240.48 = 176,644.29 : x
  2. Step 2: Convert to fraction form
    476,078.31/714,240.48 = 176,644.29/x
  3. Step 3: Cross multiply
    476,078.31x = 714,240.48 × 176,644.29
  4. Step 4: Simplify right side
    476,078.31x = 126,166,501,595.64
  5. Step 5: Solve for x
    x = 126,166,501,595.64/476,078.31
  6. Step 6: Final answer
    x = 265,012.08

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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.