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Finding the Fourth Proportional to 415,945.40, 623,918.10 and 409,724.60

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Solution

The fourth proportional to 415,945.40, 623,918.10 and 409,724.60 is: 614,586.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,945.40 : 623,918.10 = 409,724.60 : x
  2. Step 2: Convert to fraction form
    415,945.40/623,918.10 = 409,724.60/x
  3. Step 3: Cross multiply
    415,945.40x = 623,918.10 × 409,724.60
  4. Step 4: Simplify right side
    415,945.40x = 255,634,593,955.26
  5. Step 5: Solve for x
    x = 255,634,593,955.26/415,945.40
  6. Step 6: Final answer
    x = 614,586.90

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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.