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Finding the Fourth Proportional to 524,153.32, 786,077.94 and 204,233.83

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Solution

The fourth proportional to 524,153.32, 786,077.94 and 204,233.83 is: 306,291.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,153.32 : 786,077.94 = 204,233.83 : x
  2. Step 2: Convert to fraction form
    524,153.32/786,077.94 = 204,233.83/x
  3. Step 3: Cross multiply
    524,153.32x = 786,077.94 × 204,233.83
  4. Step 4: Simplify right side
    524,153.32x = 160,543,708,364.71
  5. Step 5: Solve for x
    x = 160,543,708,364.71/524,153.32
  6. Step 6: Final answer
    x = 306,291.50

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1.5x scale

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.