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Finding the Fourth Proportional to 296,002.30, 444,007.50 and 96,323.74

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Solution

The fourth proportional to 296,002.30, 444,007.50 and 96,323.74 is: 144,486.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,002.30 : 444,007.50 = 96,323.74 : x
  2. Step 2: Convert to fraction form
    296,002.30/444,007.50 = 96,323.74/x
  3. Step 3: Cross multiply
    296,002.30x = 444,007.50 × 96,323.74
  4. Step 4: Simplify right side
    296,002.30x = 42,768,462,988.05
  5. Step 5: Solve for x
    x = 42,768,462,988.05/296,002.30
  6. Step 6: Final answer
    x = 144,486.93

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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.