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Finding the Fourth Proportional to 532,965.98, 735,461.80 and 291,250.43

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Solution

The fourth proportional to 532,965.98, 735,461.80 and 291,250.43 is: 401,908.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,965.98 : 735,461.80 = 291,250.43 : x
  2. Step 2: Convert to fraction form
    532,965.98/735,461.80 = 291,250.43/x
  3. Step 3: Cross multiply
    532,965.98x = 735,461.80 × 291,250.43
  4. Step 4: Simplify right side
    532,965.98x = 214,203,565,498.57
  5. Step 5: Solve for x
    x = 214,203,565,498.57/532,965.98
  6. Step 6: Final answer
    x = 401,908.51

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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.