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Finding the Fourth Proportional to 408,326,167.64, 563,393,257.80 and 232,100,291.72

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Solution

The fourth proportional to 408,326,167.64, 563,393,257.80 and 232,100,291.72 is: 320,243,349.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,326,167.64 : 563,393,257.80 = 232,100,291.72 : x
  2. Step 2: Convert to fraction form
    408,326,167.64/563,393,257.80 = 232,100,291.72/x
  3. Step 3: Cross multiply
    408,326,167.64x = 563,393,257.80 × 232,100,291.72
  4. Step 4: Simplify right side
    408,326,167.64x = 130,763,739,488,461,152
  5. Step 5: Solve for x
    x = 130,763,739,488,461,152/408,326,167.64
  6. Step 6: Final answer
    x = 320,243,349.19

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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.