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Finding the Fourth Proportional to 213,892.40, 320,838.60 and 197,303.60

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Solution

The fourth proportional to 213,892.40, 320,838.60 and 197,303.60 is: 295,955.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,892.40 : 320,838.60 = 197,303.60 : x
  2. Step 2: Convert to fraction form
    213,892.40/320,838.60 = 197,303.60/x
  3. Step 3: Cross multiply
    213,892.40x = 320,838.60 × 197,303.60
  4. Step 4: Simplify right side
    213,892.40x = 63,302,610,798.96
  5. Step 5: Solve for x
    x = 63,302,610,798.96/213,892.40
  6. Step 6: Final answer
    x = 295,955.40

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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.