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Finding the Fourth Proportional to 477,682.36, 716,643.82 and 178,172.71

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Solution

The fourth proportional to 477,682.36, 716,643.82 and 178,172.71 is: 267,303.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,682.36 : 716,643.82 = 178,172.71 : x
  2. Step 2: Convert to fraction form
    477,682.36/716,643.82 = 178,172.71/x
  3. Step 3: Cross multiply
    477,682.36x = 716,643.82 × 178,172.71
  4. Step 4: Simplify right side
    477,682.36x = 127,686,369,945.26
  5. Step 5: Solve for x
    x = 127,686,369,945.26/477,682.36
  6. Step 6: Final answer
    x = 267,303.93

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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.