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Finding the Fourth Proportional to 385,367.80, 578,051.70 and 306,052.60

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Solution

The fourth proportional to 385,367.80, 578,051.70 and 306,052.60 is: 459,078.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,367.80 : 578,051.70 = 306,052.60 : x
  2. Step 2: Convert to fraction form
    385,367.80/578,051.70 = 306,052.60/x
  3. Step 3: Cross multiply
    385,367.80x = 578,051.70 × 306,052.60
  4. Step 4: Simplify right side
    385,367.80x = 176,914,225,719.42
  5. Step 5: Solve for x
    x = 176,914,225,719.42/385,367.80
  6. Step 6: Final answer
    x = 459,078.90

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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.