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Finding the Fourth Proportional to 402,432.72, 603,199.52 and 174,465.15

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Solution

The fourth proportional to 402,432.72, 603,199.52 and 174,465.15 is: 261,502.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,432.72 : 603,199.52 = 174,465.15 : x
  2. Step 2: Convert to fraction form
    402,432.72/603,199.52 = 174,465.15/x
  3. Step 3: Cross multiply
    402,432.72x = 603,199.52 × 174,465.15
  4. Step 4: Simplify right side
    402,432.72x = 105,237,296,631.01
  5. Step 5: Solve for x
    x = 105,237,296,631.01/402,432.72
  6. Step 6: Final answer
    x = 261,502.84

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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.