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Finding the Fourth Proportional to 516,194.76, 712,368.98 and 353,193.15

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Solution

The fourth proportional to 516,194.76, 712,368.98 and 353,193.15 is: 487,420.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,194.76 : 712,368.98 = 353,193.15 : x
  2. Step 2: Convert to fraction form
    516,194.76/712,368.98 = 353,193.15/x
  3. Step 3: Cross multiply
    516,194.76x = 712,368.98 × 353,193.15
  4. Step 4: Simplify right side
    516,194.76x = 251,603,844,008.49
  5. Step 5: Solve for x
    x = 251,603,844,008.49/516,194.76
  6. Step 6: Final answer
    x = 487,420.38

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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.