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Finding the Fourth Proportional to 288,567.10, 432,850.65 and 162,595.90

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Solution

The fourth proportional to 288,567.10, 432,850.65 and 162,595.90 is: 243,893.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,567.10 : 432,850.65 = 162,595.90 : x
  2. Step 2: Convert to fraction form
    288,567.10/432,850.65 = 162,595.90/x
  3. Step 3: Cross multiply
    288,567.10x = 432,850.65 × 162,595.90
  4. Step 4: Simplify right side
    288,567.10x = 70,379,741,002.34
  5. Step 5: Solve for x
    x = 70,379,741,002.34/288,567.10
  6. Step 6: Final answer
    x = 243,893.85

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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.