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Finding the Fourth Proportional to 413,536, 570,407.52 and 298,623.28

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Solution

The fourth proportional to 413,536, 570,407.52 and 298,623.28 is: 411,903.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,536 : 570,407.52 = 298,623.28 : x
  2. Step 2: Convert to fraction form
    413,536/570,407.52 = 298,623.28/x
  3. Step 3: Cross multiply
    413,536x = 570,407.52 × 298,623.28
  4. Step 4: Simplify right side
    413,536x = 170,336,964,559.07
  5. Step 5: Solve for x
    x = 170,336,964,559.07/413,536
  6. Step 6: Final answer
    x = 411,903.59

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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.