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Finding the Fourth Proportional to 705,587.38, 974,114.26 and 464,569.94

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Solution

The fourth proportional to 705,587.38, 974,114.26 and 464,569.94 is: 641,372.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,587.38 : 974,114.26 = 464,569.94 : x
  2. Step 2: Convert to fraction form
    705,587.38/974,114.26 = 464,569.94/x
  3. Step 3: Cross multiply
    705,587.38x = 974,114.26 × 464,569.94
  4. Step 4: Simplify right side
    705,587.38x = 452,544,203,321.34
  5. Step 5: Solve for x
    x = 452,544,203,321.34/705,587.38
  6. Step 6: Final answer
    x = 641,372.30

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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.