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Finding the Fourth Proportional to 437,780.90, 656,636.29 and 194,697.23

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Solution

The fourth proportional to 437,780.90, 656,636.29 and 194,697.23 is: 292,030.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,780.90 : 656,636.29 = 194,697.23 : x
  2. Step 2: Convert to fraction form
    437,780.90/656,636.29 = 194,697.23/x
  3. Step 3: Cross multiply
    437,780.90x = 656,636.29 × 194,697.23
  4. Step 4: Simplify right side
    437,780.90x = 127,845,267,935.32
  5. Step 5: Solve for x
    x = 127,845,267,935.32/437,780.90
  6. Step 6: Final answer
    x = 292,030.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.