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Finding the Fourth Proportional to 282,915.37, 390,415.41 and 155,591.07

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Solution

The fourth proportional to 282,915.37, 390,415.41 and 155,591.07 is: 214,711.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,915.37 : 390,415.41 = 155,591.07 : x
  2. Step 2: Convert to fraction form
    282,915.37/390,415.41 = 155,591.07/x
  3. Step 3: Cross multiply
    282,915.37x = 390,415.41 × 155,591.07
  4. Step 4: Simplify right side
    282,915.37x = 60,745,151,386.39
  5. Step 5: Solve for x
    x = 60,745,151,386.39/282,915.37
  6. Step 6: Final answer
    x = 214,711.39

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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.