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Finding the Fourth Proportional to 532,685.19, 735,101.21 and 290,967.83

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Solution

The fourth proportional to 532,685.19, 735,101.21 and 290,967.83 is: 401,533.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,685.19 : 735,101.21 = 290,967.83 : x
  2. Step 2: Convert to fraction form
    532,685.19/735,101.21 = 290,967.83/x
  3. Step 3: Cross multiply
    532,685.19x = 735,101.21 × 290,967.83
  4. Step 4: Simplify right side
    532,685.19x = 213,890,798,773.73
  5. Step 5: Solve for x
    x = 213,890,798,773.73/532,685.19
  6. Step 6: Final answer
    x = 401,533.22

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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.