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Finding the Fourth Proportional to 406,407.48, 610,004.88 and 196,193.04

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Solution

The fourth proportional to 406,407.48, 610,004.88 and 196,193.04 is: 294,479.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,407.48 : 610,004.88 = 196,193.04 : x
  2. Step 2: Convert to fraction form
    406,407.48/610,004.88 = 196,193.04/x
  3. Step 3: Cross multiply
    406,407.48x = 610,004.88 × 196,193.04
  4. Step 4: Simplify right side
    406,407.48x = 119,678,711,822.04
  5. Step 5: Solve for x
    x = 119,678,711,822.04/406,407.48
  6. Step 6: Final answer
    x = 294,479.60

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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.