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Finding the Fourth Proportional to 477,611.53, 716,085.14 and 178,011.66

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Solution

The fourth proportional to 477,611.53, 716,085.14 and 178,011.66 is: 266,893.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,611.53 : 716,085.14 = 178,011.66 : x
  2. Step 2: Convert to fraction form
    477,611.53/716,085.14 = 178,011.66/x
  3. Step 3: Cross multiply
    477,611.53x = 716,085.14 × 178,011.66
  4. Step 4: Simplify right side
    477,611.53x = 127,471,505,886.82
  5. Step 5: Solve for x
    x = 127,471,505,886.82/477,611.53
  6. Step 6: Final answer
    x = 266,893.70

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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.