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Finding the Fourth Proportional to 306,084.70, 459,127.05 and 257,095.90

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Solution

The fourth proportional to 306,084.70, 459,127.05 and 257,095.90 is: 385,643.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,084.70 : 459,127.05 = 257,095.90 : x
  2. Step 2: Convert to fraction form
    306,084.70/459,127.05 = 257,095.90/x
  3. Step 3: Cross multiply
    306,084.70x = 459,127.05 × 257,095.90
  4. Step 4: Simplify right side
    306,084.70x = 118,039,682,134.10
  5. Step 5: Solve for x
    x = 118,039,682,134.10/306,084.70
  6. Step 6: Final answer
    x = 385,643.85

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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.