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Finding the Fourth Proportional to 438,435.60, 657,653.40 and 202,239.60

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Solution

The fourth proportional to 438,435.60, 657,653.40 and 202,239.60 is: 303,359.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,435.60 : 657,653.40 = 202,239.60 : x
  2. Step 2: Convert to fraction form
    438,435.60/657,653.40 = 202,239.60/x
  3. Step 3: Cross multiply
    438,435.60x = 657,653.40 × 202,239.60
  4. Step 4: Simplify right side
    438,435.60x = 133,003,560,554.64
  5. Step 5: Solve for x
    x = 133,003,560,554.64/438,435.60
  6. Step 6: Final answer
    x = 303,359.40

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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.