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Finding the Fourth Proportional to 476,295.10, 657,294.72 and 261,454.78

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Solution

The fourth proportional to 476,295.10, 657,294.72 and 261,454.78 is: 360,811.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,295.10 : 657,294.72 = 261,454.78 : x
  2. Step 2: Convert to fraction form
    476,295.10/657,294.72 = 261,454.78/x
  3. Step 3: Cross multiply
    476,295.10x = 657,294.72 × 261,454.78
  4. Step 4: Simplify right side
    476,295.10x = 171,852,846,412.76
  5. Step 5: Solve for x
    x = 171,852,846,412.76/476,295.10
  6. Step 6: Final answer
    x = 360,811.70

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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.