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Finding the Fourth Proportional to 703,880.37, 971,362.56 and 413,504.16

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Solution

The fourth proportional to 703,880.37, 971,362.56 and 413,504.16 is: 570,640.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    703,880.37 : 971,362.56 = 413,504.16 : x
  2. Step 2: Convert to fraction form
    703,880.37/971,362.56 = 413,504.16/x
  3. Step 3: Cross multiply
    703,880.37x = 971,362.56 × 413,504.16
  4. Step 4: Simplify right side
    703,880.37x = 401,662,459,428.25
  5. Step 5: Solve for x
    x = 401,662,459,428.25/703,880.37
  6. Step 6: Final answer
    x = 570,640.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.