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Finding the Fourth Proportional to 657,133.38, 907,205.13 and 427,890.42

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Solution

The fourth proportional to 657,133.38, 907,205.13 and 427,890.42 is: 590,723.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,133.38 : 907,205.13 = 427,890.42 : x
  2. Step 2: Convert to fraction form
    657,133.38/907,205.13 = 427,890.42/x
  3. Step 3: Cross multiply
    657,133.38x = 907,205.13 × 427,890.42
  4. Step 4: Simplify right side
    657,133.38x = 388,184,384,101.86
  5. Step 5: Solve for x
    x = 388,184,384,101.86/657,133.38
  6. Step 6: Final answer
    x = 590,723.89

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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.