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Finding the Fourth Proportional to 406,590.48, 610,279.80 and 196,376.40

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Solution

The fourth proportional to 406,590.48, 610,279.80 and 196,376.40 is: 294,754.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,590.48 : 610,279.80 = 196,376.40 : x
  2. Step 2: Convert to fraction form
    406,590.48/610,279.80 = 196,376.40/x
  3. Step 3: Cross multiply
    406,590.48x = 610,279.80 × 196,376.40
  4. Step 4: Simplify right side
    406,590.48x = 119,844,550,116.72
  5. Step 5: Solve for x
    x = 119,844,550,116.72/406,590.48
  6. Step 6: Final answer
    x = 294,754.93

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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.