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Finding the Fourth Proportional to 657,206.40, 985,809.60 and 236,427.60

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Solution

The fourth proportional to 657,206.40, 985,809.60 and 236,427.60 is: 354,641.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,206.40 : 985,809.60 = 236,427.60 : x
  2. Step 2: Convert to fraction form
    657,206.40/985,809.60 = 236,427.60/x
  3. Step 3: Cross multiply
    657,206.40x = 985,809.60 × 236,427.60
  4. Step 4: Simplify right side
    657,206.40x = 233,072,597,784.96
  5. Step 5: Solve for x
    x = 233,072,597,784.96/657,206.40
  6. Step 6: Final answer
    x = 354,641.40

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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.