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Finding the Fourth Proportional to 707,105.77, 975,635.27 and 416,729.27

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Solution

The fourth proportional to 707,105.77, 975,635.27 and 416,729.27 is: 574,985.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    707,105.77 : 975,635.27 = 416,729.27 : x
  2. Step 2: Convert to fraction form
    707,105.77/975,635.27 = 416,729.27/x
  3. Step 3: Cross multiply
    707,105.77x = 975,635.27 × 416,729.27
  4. Step 4: Simplify right side
    707,105.77x = 406,575,773,853.35
  5. Step 5: Solve for x
    x = 406,575,773,853.35/707,105.77
  6. Step 6: Final answer
    x = 574,985.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.