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Finding the Fourth Proportional to 343,307.20, 515,106.60 and 165,722.80

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Solution

The fourth proportional to 343,307.20, 515,106.60 and 165,722.80 is: 248,654.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,307.20 : 515,106.60 = 165,722.80 : x
  2. Step 2: Convert to fraction form
    343,307.20/515,106.60 = 165,722.80/x
  3. Step 3: Cross multiply
    343,307.20x = 515,106.60 × 165,722.80
  4. Step 4: Simplify right side
    343,307.20x = 85,364,908,050.48
  5. Step 5: Solve for x
    x = 85,364,908,050.48/343,307.20
  6. Step 6: Final answer
    x = 248,654.58

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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.