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Finding the Fourth Proportional to 288,681.86, 433,415.46 and 162,410.96

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Solution

The fourth proportional to 288,681.86, 433,415.46 and 162,410.96 is: 243,837.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,681.86 : 433,415.46 = 162,410.96 : x
  2. Step 2: Convert to fraction form
    288,681.86/433,415.46 = 162,410.96/x
  3. Step 3: Cross multiply
    288,681.86x = 433,415.46 × 162,410.96
  4. Step 4: Simplify right side
    288,681.86x = 70,391,418,770.36
  5. Step 5: Solve for x
    x = 70,391,418,770.36/288,681.86
  6. Step 6: Final answer
    x = 243,837.35

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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.