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Finding the Fourth Proportional to 406,810.18, 610,187.91 and 140,574.34

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Solution

The fourth proportional to 406,810.18, 610,187.91 and 140,574.34 is: 210,852.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,810.18 : 610,187.91 = 140,574.34 : x
  2. Step 2: Convert to fraction form
    406,810.18/610,187.91 = 140,574.34/x
  3. Step 3: Cross multiply
    406,810.18x = 610,187.91 × 140,574.34
  4. Step 4: Simplify right side
    406,810.18x = 85,776,762,724.23
  5. Step 5: Solve for x
    x = 85,776,762,724.23/406,810.18
  6. Step 6: Final answer
    x = 210,852.06

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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.