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Finding the Fourth Proportional to 430,897.42, 594,197.40 and 285,652.68

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Solution

The fourth proportional to 430,897.42, 594,197.40 and 285,652.68 is: 393,908.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,897.42 : 594,197.40 = 285,652.68 : x
  2. Step 2: Convert to fraction form
    430,897.42/594,197.40 = 285,652.68/x
  3. Step 3: Cross multiply
    430,897.42x = 594,197.40 × 285,652.68
  4. Step 4: Simplify right side
    430,897.42x = 169,734,079,759.03
  5. Step 5: Solve for x
    x = 169,734,079,759.03/430,897.42
  6. Step 6: Final answer
    x = 393,908.32

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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.