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Finding the Fourth Proportional to 617,930.90, 926,896.35 and 497,662.10

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Solution

The fourth proportional to 617,930.90, 926,896.35 and 497,662.10 is: 746,493.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,930.90 : 926,896.35 = 497,662.10 : x
  2. Step 2: Convert to fraction form
    617,930.90/926,896.35 = 497,662.10/x
  3. Step 3: Cross multiply
    617,930.90x = 926,896.35 × 497,662.10
  4. Step 4: Simplify right side
    617,930.90x = 461,281,184,023.34
  5. Step 5: Solve for x
    x = 461,281,184,023.34/617,930.90
  6. Step 6: Final answer
    x = 746,493.15

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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.