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Finding the Fourth Proportional to 406,973.80, 610,460.70 and 111,485.80

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Solution

The fourth proportional to 406,973.80, 610,460.70 and 111,485.80 is: 167,228.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,973.80 : 610,460.70 = 111,485.80 : x
  2. Step 2: Convert to fraction form
    406,973.80/610,460.70 = 111,485.80/x
  3. Step 3: Cross multiply
    406,973.80x = 610,460.70 × 111,485.80
  4. Step 4: Simplify right side
    406,973.80x = 68,057,699,508.06
  5. Step 5: Solve for x
    x = 68,057,699,508.06/406,973.80
  6. Step 6: Final answer
    x = 167,228.70

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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.