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Finding the Fourth Proportional to 408,326,166.64, 563,393,256.42 and 232,100,290.72

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Solution

The fourth proportional to 408,326,166.64, 563,393,256.42 and 232,100,290.72 is: 320,243,347.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,326,166.64 : 563,393,256.42 = 232,100,290.72 : x
  2. Step 2: Convert to fraction form
    408,326,166.64/563,393,256.42 = 232,100,290.72/x
  3. Step 3: Cross multiply
    408,326,166.64x = 563,393,256.42 × 232,100,290.72
  4. Step 4: Simplify right side
    408,326,166.64x = 130,763,738,604,769,488
  5. Step 5: Solve for x
    x = 130,763,738,604,769,488/408,326,166.64
  6. Step 6: Final answer
    x = 320,243,347.81

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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.