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Finding the Fourth Proportional to 355,846.40, 533,596.80 and 197,907.20

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Solution

The fourth proportional to 355,846.40, 533,596.80 and 197,907.20 is: 296,764.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,846.40 : 533,596.80 = 197,907.20 : x
  2. Step 2: Convert to fraction form
    355,846.40/533,596.80 = 197,907.20/x
  3. Step 3: Cross multiply
    355,846.40x = 533,596.80 × 197,907.20
  4. Step 4: Simplify right side
    355,846.40x = 105,602,648,616.96
  5. Step 5: Solve for x
    x = 105,602,648,616.96/355,846.40
  6. Step 6: Final answer
    x = 296,764.70

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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.