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Finding the Fourth Proportional to 306,098.40, 459,147.60 and 199,810.20

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Solution

The fourth proportional to 306,098.40, 459,147.60 and 199,810.20 is: 299,715.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,098.40 : 459,147.60 = 199,810.20 : x
  2. Step 2: Convert to fraction form
    306,098.40/459,147.60 = 199,810.20/x
  3. Step 3: Cross multiply
    306,098.40x = 459,147.60 × 199,810.20
  4. Step 4: Simplify right side
    306,098.40x = 91,742,373,785.52
  5. Step 5: Solve for x
    x = 91,742,373,785.52/306,098.40
  6. Step 6: Final answer
    x = 299,715.30

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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.