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Finding the Fourth Proportional to 293,670.70, 440,506.05 and 153,411.10

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Solution

The fourth proportional to 293,670.70, 440,506.05 and 153,411.10 is: 230,116.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,670.70 : 440,506.05 = 153,411.10 : x
  2. Step 2: Convert to fraction form
    293,670.70/440,506.05 = 153,411.10/x
  3. Step 3: Cross multiply
    293,670.70x = 440,506.05 × 153,411.10
  4. Step 4: Simplify right side
    293,670.70x = 67,578,517,687.16
  5. Step 5: Solve for x
    x = 67,578,517,687.16/293,670.70
  6. Step 6: Final answer
    x = 230,116.65

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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.