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Finding the Fourth Proportional to 477,750.28, 659,567.31 and 316,822.58

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Solution

The fourth proportional to 477,750.28, 659,567.31 and 316,822.58 is: 437,395.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,750.28 : 659,567.31 = 316,822.58 : x
  2. Step 2: Convert to fraction form
    477,750.28/659,567.31 = 316,822.58/x
  3. Step 3: Cross multiply
    477,750.28x = 659,567.31 × 316,822.58
  4. Step 4: Simplify right side
    477,750.28x = 208,965,816,837.86
  5. Step 5: Solve for x
    x = 208,965,816,837.86/477,750.28
  6. Step 6: Final answer
    x = 437,395.49

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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.