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Finding the Fourth Proportional to 415,938.40, 623,907.60 and 205,532.80

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Solution

The fourth proportional to 415,938.40, 623,907.60 and 205,532.80 is: 308,299.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,938.40 : 623,907.60 = 205,532.80 : x
  2. Step 2: Convert to fraction form
    415,938.40/623,907.60 = 205,532.80/x
  3. Step 3: Cross multiply
    415,938.40x = 623,907.60 × 205,532.80
  4. Step 4: Simplify right side
    415,938.40x = 128,233,475,969.28
  5. Step 5: Solve for x
    x = 128,233,475,969.28/415,938.40
  6. Step 6: Final answer
    x = 308,299.20

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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.