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Finding the Fourth Proportional to 413,345.04, 570,376.74 and 232,015.41

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Solution

The fourth proportional to 413,345.04, 570,376.74 and 232,015.41 is: 320,159.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,345.04 : 570,376.74 = 232,015.41 : x
  2. Step 2: Convert to fraction form
    413,345.04/570,376.74 = 232,015.41/x
  3. Step 3: Cross multiply
    413,345.04x = 570,376.74 × 232,015.41
  4. Step 4: Simplify right side
    413,345.04x = 132,336,193,185.56
  5. Step 5: Solve for x
    x = 132,336,193,185.56/413,345.04
  6. Step 6: Final answer
    x = 320,159.14

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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.