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Finding the Fourth Proportional to 656,291.80, 905,701.50 and 369,796.12

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Solution

The fourth proportional to 656,291.80, 905,701.50 and 369,796.12 is: 510,329.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,291.80 : 905,701.50 = 369,796.12 : x
  2. Step 2: Convert to fraction form
    656,291.80/905,701.50 = 369,796.12/x
  3. Step 3: Cross multiply
    656,291.80x = 905,701.50 × 369,796.12
  4. Step 4: Simplify right side
    656,291.80x = 334,924,900,578.18
  5. Step 5: Solve for x
    x = 334,924,900,578.18/656,291.80
  6. Step 6: Final answer
    x = 510,329.25

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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.