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Finding the Fourth Proportional to 532,953.10, 735,484.90 and 291,245.86

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Solution

The fourth proportional to 532,953.10, 735,484.90 and 291,245.86 is: 401,924.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,953.10 : 735,484.90 = 291,245.86 : x
  2. Step 2: Convert to fraction form
    532,953.10/735,484.90 = 291,245.86/x
  3. Step 3: Cross multiply
    532,953.10x = 735,484.90 × 291,245.86
  4. Step 4: Simplify right side
    532,953.10x = 214,206,932,217.51
  5. Step 5: Solve for x
    x = 214,206,932,217.51/532,953.10
  6. Step 6: Final answer
    x = 401,924.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.