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Finding the Fourth Proportional to 306,000.10, 459,000.15 and 193,314.93

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Solution

The fourth proportional to 306,000.10, 459,000.15 and 193,314.93 is: 289,972.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,000.10 : 459,000.15 = 193,314.93 : x
  2. Step 2: Convert to fraction form
    306,000.10/459,000.15 = 193,314.93/x
  3. Step 3: Cross multiply
    306,000.10x = 459,000.15 × 193,314.93
  4. Step 4: Simplify right side
    306,000.10x = 88,731,581,867.24
  5. Step 5: Solve for x
    x = 88,731,581,867.24/306,000.10
  6. Step 6: Final answer
    x = 289,972.40

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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.