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Finding the Fourth Proportional to 306,031.40, 459,047.10 and 299,470.40

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Solution

The fourth proportional to 306,031.40, 459,047.10 and 299,470.40 is: 449,205.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,031.40 : 459,047.10 = 299,470.40 : x
  2. Step 2: Convert to fraction form
    306,031.40/459,047.10 = 299,470.40/x
  3. Step 3: Cross multiply
    306,031.40x = 459,047.10 × 299,470.40
  4. Step 4: Simplify right side
    306,031.40x = 137,471,018,655.84
  5. Step 5: Solve for x
    x = 137,471,018,655.84/306,031.40
  6. Step 6: Final answer
    x = 449,205.60

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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.