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Finding the Fourth Proportional to 270,931.84, 406,475.52 and 177,321.76

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Solution

The fourth proportional to 270,931.84, 406,475.52 and 177,321.76 is: 266,033.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,931.84 : 406,475.52 = 177,321.76 : x
  2. Step 2: Convert to fraction form
    270,931.84/406,475.52 = 177,321.76/x
  3. Step 3: Cross multiply
    270,931.84x = 406,475.52 × 177,321.76
  4. Step 4: Simplify right side
    270,931.84x = 72,076,954,603.32
  5. Step 5: Solve for x
    x = 72,076,954,603.32/270,931.84
  6. Step 6: Final answer
    x = 266,033.53

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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.