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Finding the Fourth Proportional to 384,823.80, 577,235.70 and 135,473.40

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Solution

The fourth proportional to 384,823.80, 577,235.70 and 135,473.40 is: 203,210.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,823.80 : 577,235.70 = 135,473.40 : x
  2. Step 2: Convert to fraction form
    384,823.80/577,235.70 = 135,473.40/x
  3. Step 3: Cross multiply
    384,823.80x = 577,235.70 × 135,473.40
  4. Step 4: Simplify right side
    384,823.80x = 78,200,082,880.38
  5. Step 5: Solve for x
    x = 78,200,082,880.38/384,823.80
  6. Step 6: Final answer
    x = 203,210.10

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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.