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Finding the Fourth Proportional to 532,763.86, 735,214.62 and 291,050.47

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Solution

The fourth proportional to 532,763.86, 735,214.62 and 291,050.47 is: 401,649.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,763.86 : 735,214.62 = 291,050.47 : x
  2. Step 2: Convert to fraction form
    532,763.86/735,214.62 = 291,050.47/x
  3. Step 3: Cross multiply
    532,763.86x = 735,214.62 × 291,050.47
  4. Step 4: Simplify right side
    532,763.86x = 213,984,558,863.84
  5. Step 5: Solve for x
    x = 213,984,558,863.84/532,763.86
  6. Step 6: Final answer
    x = 401,649.92

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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.