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Finding the Fourth Proportional to 411,864.60, 617,140.80 and 305,576.40

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Solution

The fourth proportional to 411,864.60, 617,140.80 and 305,576.40 is: 457,877.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,864.60 : 617,140.80 = 305,576.40 : x
  2. Step 2: Convert to fraction form
    411,864.60/617,140.80 = 305,576.40/x
  3. Step 3: Cross multiply
    411,864.60x = 617,140.80 × 305,576.40
  4. Step 4: Simplify right side
    411,864.60x = 188,583,663,957.12
  5. Step 5: Solve for x
    x = 188,583,663,957.12/411,864.60
  6. Step 6: Final answer
    x = 457,877.82

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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.