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Finding the Fourth Proportional to 617,904.30, 925,042.05 and 460,829.10

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Solution

The fourth proportional to 617,904.30, 925,042.05 and 460,829.10 is: 689,890.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,904.30 : 925,042.05 = 460,829.10 : x
  2. Step 2: Convert to fraction form
    617,904.30/925,042.05 = 460,829.10/x
  3. Step 3: Cross multiply
    617,904.30x = 925,042.05 × 460,829.10
  4. Step 4: Simplify right side
    617,904.30x = 426,286,295,363.66
  5. Step 5: Solve for x
    x = 426,286,295,363.66/617,904.30
  6. Step 6: Final answer
    x = 689,890.48

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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.