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Finding the Fourth Proportional to 292,654.80, 438,982.20 and 71,038.80

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Solution

The fourth proportional to 292,654.80, 438,982.20 and 71,038.80 is: 106,558.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,654.80 : 438,982.20 = 71,038.80 : x
  2. Step 2: Convert to fraction form
    292,654.80/438,982.20 = 71,038.80/x
  3. Step 3: Cross multiply
    292,654.80x = 438,982.20 × 71,038.80
  4. Step 4: Simplify right side
    292,654.80x = 31,184,768,709.36
  5. Step 5: Solve for x
    x = 31,184,768,709.36/292,654.80
  6. Step 6: Final answer
    x = 106,558.20

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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.