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Finding the Fourth Proportional to 508,103.61, 701,132.45 and 293,312.87

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Solution

The fourth proportional to 508,103.61, 701,132.45 and 293,312.87 is: 404,742.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,103.61 : 701,132.45 = 293,312.87 : x
  2. Step 2: Convert to fraction form
    508,103.61/701,132.45 = 293,312.87/x
  3. Step 3: Cross multiply
    508,103.61x = 701,132.45 × 293,312.87
  4. Step 4: Simplify right side
    508,103.61x = 205,651,171,159.63
  5. Step 5: Solve for x
    x = 205,651,171,159.63/508,103.61
  6. Step 6: Final answer
    x = 404,742.59

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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.