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Finding the Fourth Proportional to 306,205.20, 459,307.80 and 272,962.80

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Solution

The fourth proportional to 306,205.20, 459,307.80 and 272,962.80 is: 409,444.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,205.20 : 459,307.80 = 272,962.80 : x
  2. Step 2: Convert to fraction form
    306,205.20/459,307.80 = 272,962.80/x
  3. Step 3: Cross multiply
    306,205.20x = 459,307.80 × 272,962.80
  4. Step 4: Simplify right side
    306,205.20x = 125,373,943,149.84
  5. Step 5: Solve for x
    x = 125,373,943,149.84/306,205.20
  6. Step 6: Final answer
    x = 409,444.20

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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.