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Finding the Fourth Proportional to 532,820.33, 735,302.63 and 291,117.87

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Solution

The fourth proportional to 532,820.33, 735,302.63 and 291,117.87 is: 401,748.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,820.33 : 735,302.63 = 291,117.87 : x
  2. Step 2: Convert to fraction form
    532,820.33/735,302.63 = 291,117.87/x
  3. Step 3: Cross multiply
    532,820.33x = 735,302.63 × 291,117.87
  4. Step 4: Simplify right side
    532,820.33x = 214,059,735,451.00
  5. Step 5: Solve for x
    x = 214,059,735,451.00/532,820.33
  6. Step 6: Final answer
    x = 401,748.44

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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.