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Finding the Fourth Proportional to 457,513.39, 685,595.64 and 254,830.33

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Solution

The fourth proportional to 457,513.39, 685,595.64 and 254,830.33 is: 381,869.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,513.39 : 685,595.64 = 254,830.33 : x
  2. Step 2: Convert to fraction form
    457,513.39/685,595.64 = 254,830.33/x
  3. Step 3: Cross multiply
    457,513.39x = 685,595.64 × 254,830.33
  4. Step 4: Simplify right side
    457,513.39x = 174,710,563,187.76
  5. Step 5: Solve for x
    x = 174,710,563,187.76/457,513.39
  6. Step 6: Final answer
    x = 381,869.84

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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.