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Finding the Fourth Proportional to 306,515.64, 459,754.72 and 114,353.04

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Solution

The fourth proportional to 306,515.64, 459,754.72 and 114,353.04 is: 171,522.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,515.64 : 459,754.72 = 114,353.04 : x
  2. Step 2: Convert to fraction form
    306,515.64/459,754.72 = 114,353.04/x
  3. Step 3: Cross multiply
    306,515.64x = 459,754.72 × 114,353.04
  4. Step 4: Simplify right side
    306,515.64x = 52,574,349,886.35
  5. Step 5: Solve for x
    x = 52,574,349,886.35/306,515.64
  6. Step 6: Final answer
    x = 171,522.57

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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.