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Finding the Fourth Proportional to 357,232, 535,687.44 and 256,972

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Solution

The fourth proportional to 357,232, 535,687.44 and 256,972 is: 385,342.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,232 : 535,687.44 = 256,972 : x
  2. Step 2: Convert to fraction form
    357,232/535,687.44 = 256,972/x
  3. Step 3: Cross multiply
    357,232x = 535,687.44 × 256,972
  4. Step 4: Simplify right side
    357,232x = 137,656,672,831.68
  5. Step 5: Solve for x
    x = 137,656,672,831.68/357,232
  6. Step 6: Final answer
    x = 385,342.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.