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Finding the Fourth Proportional to 306,038.40, 459,057.60 and 299,477.40

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Solution

The fourth proportional to 306,038.40, 459,057.60 and 299,477.40 is: 449,216.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,038.40 : 459,057.60 = 299,477.40 : x
  2. Step 2: Convert to fraction form
    306,038.40/459,057.60 = 299,477.40/x
  3. Step 3: Cross multiply
    306,038.40x = 459,057.60 × 299,477.40
  4. Step 4: Simplify right side
    306,038.40x = 137,477,376,498.24
  5. Step 5: Solve for x
    x = 137,477,376,498.24/306,038.40
  6. Step 6: Final answer
    x = 449,216.10

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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.