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Finding the Fourth Proportional to 400,368.30, 600,718.28 and 175,612.74

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Solution

The fourth proportional to 400,368.30, 600,718.28 and 175,612.74 is: 263,491.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,368.30 : 600,718.28 = 175,612.74 : x
  2. Step 2: Convert to fraction form
    400,368.30/600,718.28 = 175,612.74/x
  3. Step 3: Cross multiply
    400,368.30x = 600,718.28 × 175,612.74
  4. Step 4: Simplify right side
    400,368.30x = 105,493,783,118.89
  5. Step 5: Solve for x
    x = 105,493,783,118.89/400,368.30
  6. Step 6: Final answer
    x = 263,491.85

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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.