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Finding the Fourth Proportional to 657,907.20, 985,111.20 and 419,961.60

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Solution

The fourth proportional to 657,907.20, 985,111.20 and 419,961.60 is: 628,825.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,907.20 : 985,111.20 = 419,961.60 : x
  2. Step 2: Convert to fraction form
    657,907.20/985,111.20 = 419,961.60/x
  3. Step 3: Cross multiply
    657,907.20x = 985,111.20 × 419,961.60
  4. Step 4: Simplify right side
    657,907.20x = 413,708,875,729.92
  5. Step 5: Solve for x
    x = 413,708,875,729.92/657,907.20
  6. Step 6: Final answer
    x = 628,825.58

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Double scale
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1.5x scale

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.