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Finding the Fourth Proportional to 509,066.35, 763,697.73 and 193,498.58

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Solution

The fourth proportional to 509,066.35, 763,697.73 and 193,498.58 is: 290,285.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,066.35 : 763,697.73 = 193,498.58 : x
  2. Step 2: Convert to fraction form
    509,066.35/763,697.73 = 193,498.58/x
  3. Step 3: Cross multiply
    509,066.35x = 763,697.73 × 193,498.58
  4. Step 4: Simplify right side
    509,066.35x = 147,774,426,304.22
  5. Step 5: Solve for x
    x = 147,774,426,304.22/509,066.35
  6. Step 6: Final answer
    x = 290,285.20

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