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Finding the Fourth Proportional to 532,827.06, 735,311.93 and 291,124.63

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Solution

The fourth proportional to 532,827.06, 735,311.93 and 291,124.63 is: 401,757.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,827.06 : 735,311.93 = 291,124.63 : x
  2. Step 2: Convert to fraction form
    532,827.06/735,311.93 = 291,124.63/x
  3. Step 3: Cross multiply
    532,827.06x = 735,311.93 × 291,124.63
  4. Step 4: Simplify right side
    532,827.06x = 214,067,413,019.35
  5. Step 5: Solve for x
    x = 214,067,413,019.35/532,827.06
  6. Step 6: Final answer
    x = 401,757.77

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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.