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Finding the Fourth Proportional to 355,142.35, 535,111.13 and 293,346.95

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Solution

The fourth proportional to 355,142.35, 535,111.13 and 293,346.95 is: 442,000.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,142.35 : 535,111.13 = 293,346.95 : x
  2. Step 2: Convert to fraction form
    355,142.35/535,111.13 = 293,346.95/x
  3. Step 3: Cross multiply
    355,142.35x = 535,111.13 × 293,346.95
  4. Step 4: Simplify right side
    355,142.35x = 156,973,217,767.60
  5. Step 5: Solve for x
    x = 156,973,217,767.60/355,142.35
  6. Step 6: Final answer
    x = 442,000.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.