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Finding the Fourth Proportional to 433,347.42, 649,488.75 and 243,408.52

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Solution

The fourth proportional to 433,347.42, 649,488.75 and 243,408.52 is: 364,813.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,347.42 : 649,488.75 = 243,408.52 : x
  2. Step 2: Convert to fraction form
    433,347.42/649,488.75 = 243,408.52/x
  3. Step 3: Cross multiply
    433,347.42x = 649,488.75 × 243,408.52
  4. Step 4: Simplify right side
    433,347.42x = 158,091,095,749.62
  5. Step 5: Solve for x
    x = 158,091,095,749.62/433,347.42
  6. Step 6: Final answer
    x = 364,813.74

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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.