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Finding the Fourth Proportional to 385,337.80, 578,006.70 and 306,022.60

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Solution

The fourth proportional to 385,337.80, 578,006.70 and 306,022.60 is: 459,033.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,337.80 : 578,006.70 = 306,022.60 : x
  2. Step 2: Convert to fraction form
    385,337.80/578,006.70 = 306,022.60/x
  3. Step 3: Cross multiply
    385,337.80x = 578,006.70 × 306,022.60
  4. Step 4: Simplify right side
    385,337.80x = 176,883,113,151.42
  5. Step 5: Solve for x
    x = 176,883,113,151.42/385,337.80
  6. Step 6: Final answer
    x = 459,033.90

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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.