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Finding the Fourth Proportional to 357,054.32, 492,286.64 and 261,394.94

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Solution

The fourth proportional to 357,054.32, 492,286.64 and 261,394.94 is: 360,396.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,054.32 : 492,286.64 = 261,394.94 : x
  2. Step 2: Convert to fraction form
    357,054.32/492,286.64 = 261,394.94/x
  3. Step 3: Cross multiply
    357,054.32x = 492,286.64 × 261,394.94
  4. Step 4: Simplify right side
    357,054.32x = 128,681,236,649.34
  5. Step 5: Solve for x
    x = 128,681,236,649.34/357,054.32
  6. Step 6: Final answer
    x = 360,396.80

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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.