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Finding the Fourth Proportional to 707,199.34, 975,494.36 and 431,431.20

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Solution

The fourth proportional to 707,199.34, 975,494.36 and 431,431.20 is: 595,106.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    707,199.34 : 975,494.36 = 431,431.20 : x
  2. Step 2: Convert to fraction form
    707,199.34/975,494.36 = 431,431.20/x
  3. Step 3: Cross multiply
    707,199.34x = 975,494.36 × 431,431.20
  4. Step 4: Simplify right side
    707,199.34x = 420,858,702,328.03
  5. Step 5: Solve for x
    x = 420,858,702,328.03/707,199.34
  6. Step 6: Final answer
    x = 595,106.19

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Why These Related Problems?

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