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Finding the Fourth Proportional to 610,420.20, 916,067.70 and 343,897.80

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Solution

The fourth proportional to 610,420.20, 916,067.70 and 343,897.80 is: 516,093.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,420.20 : 916,067.70 = 343,897.80 : x
  2. Step 2: Convert to fraction form
    610,420.20/916,067.70 = 343,897.80/x
  3. Step 3: Cross multiply
    610,420.20x = 916,067.70 × 343,897.80
  4. Step 4: Simplify right side
    610,420.20x = 315,033,666,681.06
  5. Step 5: Solve for x
    x = 315,033,666,681.06/610,420.20
  6. Step 6: Final answer
    x = 516,093.12

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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.