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Finding the Fourth Proportional to 306,603.46, 459,966.70 and 106,870.22

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Solution

The fourth proportional to 306,603.46, 459,966.70 and 106,870.22 is: 160,326.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,603.46 : 459,966.70 = 106,870.22 : x
  2. Step 2: Convert to fraction form
    306,603.46/459,966.70 = 106,870.22/x
  3. Step 3: Cross multiply
    306,603.46x = 459,966.70 × 106,870.22
  4. Step 4: Simplify right side
    306,603.46x = 49,156,741,980.30
  5. Step 5: Solve for x
    x = 49,156,741,980.30/306,603.46
  6. Step 6: Final answer
    x = 160,326.77

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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.