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Finding the Fourth Proportional to 413,531.44, 570,605.04 and 243,798.32

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Solution

The fourth proportional to 413,531.44, 570,605.04 and 243,798.32 is: 336,401.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,531.44 : 570,605.04 = 243,798.32 : x
  2. Step 2: Convert to fraction form
    413,531.44/570,605.04 = 243,798.32/x
  3. Step 3: Cross multiply
    413,531.44x = 570,605.04 × 243,798.32
  4. Step 4: Simplify right side
    413,531.44x = 139,112,550,135.53
  5. Step 5: Solve for x
    x = 139,112,550,135.53/413,531.44
  6. Step 6: Final answer
    x = 336,401.39

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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.