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Finding the Fourth Proportional to 617,090.40, 925,703.64 and 196,267.86

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Solution

The fourth proportional to 617,090.40, 925,703.64 and 196,267.86 is: 294,423.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,090.40 : 925,703.64 = 196,267.86 : x
  2. Step 2: Convert to fraction form
    617,090.40/925,703.64 = 196,267.86/x
  3. Step 3: Cross multiply
    617,090.40x = 925,703.64 × 196,267.86
  4. Step 4: Simplify right side
    617,090.40x = 181,685,872,417.01
  5. Step 5: Solve for x
    x = 181,685,872,417.01/617,090.40
  6. Step 6: Final answer
    x = 294,423.43

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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.