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Finding the Fourth Proportional to 477,775.71, 716,548.73 and 140,725.31

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Solution

The fourth proportional to 477,775.71, 716,548.73 and 140,725.31 is: 211,054.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,775.71 : 716,548.73 = 140,725.31 : x
  2. Step 2: Convert to fraction form
    477,775.71/716,548.73 = 140,725.31/x
  3. Step 3: Cross multiply
    477,775.71x = 716,548.73 × 140,725.31
  4. Step 4: Simplify right side
    477,775.71x = 100,836,537,872.99
  5. Step 5: Solve for x
    x = 100,836,537,872.99/477,775.71
  6. Step 6: Final answer
    x = 211,054.13

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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.