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Finding the Fourth Proportional to 461,907.80, 692,732.10 and 146,461.40

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Solution

The fourth proportional to 461,907.80, 692,732.10 and 146,461.40 is: 219,651.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,907.80 : 692,732.10 = 146,461.40 : x
  2. Step 2: Convert to fraction form
    461,907.80/692,732.10 = 146,461.40/x
  3. Step 3: Cross multiply
    461,907.80x = 692,732.10 × 146,461.40
  4. Step 4: Simplify right side
    461,907.80x = 101,458,513,190.94
  5. Step 5: Solve for x
    x = 101,458,513,190.94/461,907.80
  6. Step 6: Final answer
    x = 219,651.01

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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.