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Finding the Fourth Proportional to 403,394.12, 604,950.12 and 119,009.17

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Solution

The fourth proportional to 403,394.12, 604,950.12 and 119,009.17 is: 178,472.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,394.12 : 604,950.12 = 119,009.17 : x
  2. Step 2: Convert to fraction form
    403,394.12/604,950.12 = 119,009.17/x
  3. Step 3: Cross multiply
    403,394.12x = 604,950.12 × 119,009.17
  4. Step 4: Simplify right side
    403,394.12x = 71,994,610,160.23
  5. Step 5: Solve for x
    x = 71,994,610,160.23/403,394.12
  6. Step 6: Final answer
    x = 178,472.14

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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.