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Finding the Fourth Proportional to 666,090, 999,463.02 and 311,052.42

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Solution

The fourth proportional to 666,090, 999,463.02 and 311,052.42 is: 466,731.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,090 : 999,463.02 = 311,052.42 : x
  2. Step 2: Convert to fraction form
    666,090/999,463.02 = 311,052.42/x
  3. Step 3: Cross multiply
    666,090x = 999,463.02 × 311,052.42
  4. Step 4: Simplify right side
    666,090x = 310,885,391,071.51
  5. Step 5: Solve for x
    x = 310,885,391,071.51/666,090
  6. Step 6: Final answer
    x = 466,731.81

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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.