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Finding the Fourth Proportional to 589,031.22, 812,841.72 and 359,971.74

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Solution

The fourth proportional to 589,031.22, 812,841.72 and 359,971.74 is: 496,747.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,031.22 : 812,841.72 = 359,971.74 : x
  2. Step 2: Convert to fraction form
    589,031.22/812,841.72 = 359,971.74/x
  3. Step 3: Cross multiply
    589,031.22x = 812,841.72 × 359,971.74
  4. Step 4: Simplify right side
    589,031.22x = 292,600,048,292.99
  5. Step 5: Solve for x
    x = 292,600,048,292.99/589,031.22
  6. Step 6: Final answer
    x = 496,747.95

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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.