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Finding the Fourth Proportional to 365,208.48, 503,895.60 and 214,276.32

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Solution

The fourth proportional to 365,208.48, 503,895.60 and 214,276.32 is: 295,647.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,208.48 : 503,895.60 = 214,276.32 : x
  2. Step 2: Convert to fraction form
    365,208.48/503,895.60 = 214,276.32/x
  3. Step 3: Cross multiply
    365,208.48x = 503,895.60 × 214,276.32
  4. Step 4: Simplify right side
    365,208.48x = 107,972,894,832.19
  5. Step 5: Solve for x
    x = 107,972,894,832.19/365,208.48
  6. Step 6: Final answer
    x = 295,647.28

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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.