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Finding the Fourth Proportional to 306,133.80, 459,200.70 and 272,308.20

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Solution

The fourth proportional to 306,133.80, 459,200.70 and 272,308.20 is: 408,462.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,133.80 : 459,200.70 = 272,308.20 : x
  2. Step 2: Convert to fraction form
    306,133.80/459,200.70 = 272,308.20/x
  3. Step 3: Cross multiply
    306,133.80x = 459,200.70 × 272,308.20
  4. Step 4: Simplify right side
    306,133.80x = 125,044,116,055.74
  5. Step 5: Solve for x
    x = 125,044,116,055.74/306,133.80
  6. Step 6: Final answer
    x = 408,462.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.