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Finding the Fourth Proportional to 294,654.83, 406,612.85 and 180,125.28

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Solution

The fourth proportional to 294,654.83, 406,612.85 and 180,125.28 is: 248,566.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,654.83 : 406,612.85 = 180,125.28 : x
  2. Step 2: Convert to fraction form
    294,654.83/406,612.85 = 180,125.28/x
  3. Step 3: Cross multiply
    294,654.83x = 406,612.85 × 180,125.28
  4. Step 4: Simplify right side
    294,654.83x = 73,241,252,557.22
  5. Step 5: Solve for x
    x = 73,241,252,557.22/294,654.83
  6. Step 6: Final answer
    x = 248,566.28

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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.