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Finding the Fourth Proportional to 406,848.80, 610,127.40 and 207,102.80

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Solution

The fourth proportional to 406,848.80, 610,127.40 and 207,102.80 is: 310,579.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,848.80 : 610,127.40 = 207,102.80 : x
  2. Step 2: Convert to fraction form
    406,848.80/610,127.40 = 207,102.80/x
  3. Step 3: Cross multiply
    406,848.80x = 610,127.40 × 207,102.80
  4. Step 4: Simplify right side
    406,848.80x = 126,359,092,896.72
  5. Step 5: Solve for x
    x = 126,359,092,896.72/406,848.80
  6. Step 6: Final answer
    x = 310,579.98

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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.