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Finding the Fourth Proportional to 431,810.86, 648,277.58 and 332,041.12

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Solution

The fourth proportional to 431,810.86, 648,277.58 and 332,041.12 is: 498,493.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,810.86 : 648,277.58 = 332,041.12 : x
  2. Step 2: Convert to fraction form
    431,810.86/648,277.58 = 332,041.12/x
  3. Step 3: Cross multiply
    431,810.86x = 648,277.58 × 332,041.12
  4. Step 4: Simplify right side
    431,810.86x = 215,254,808,832.50
  5. Step 5: Solve for x
    x = 215,254,808,832.50/431,810.86
  6. Step 6: Final answer
    x = 498,493.27

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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.