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Finding the Fourth Proportional to 314,935.40, 472,403.10 and 196,837.40

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Solution

The fourth proportional to 314,935.40, 472,403.10 and 196,837.40 is: 295,256.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,935.40 : 472,403.10 = 196,837.40 : x
  2. Step 2: Convert to fraction form
    314,935.40/472,403.10 = 196,837.40/x
  3. Step 3: Cross multiply
    314,935.40x = 472,403.10 × 196,837.40
  4. Step 4: Simplify right side
    314,935.40x = 92,986,597,955.94
  5. Step 5: Solve for x
    x = 92,986,597,955.94/314,935.40
  6. Step 6: Final answer
    x = 295,256.10

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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.