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Finding the Fourth Proportional to 643,538.40, 965,302.80 and 194,258.40

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Solution

The fourth proportional to 643,538.40, 965,302.80 and 194,258.40 is: 291,386.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,538.40 : 965,302.80 = 194,258.40 : x
  2. Step 2: Convert to fraction form
    643,538.40/965,302.80 = 194,258.40/x
  3. Step 3: Cross multiply
    643,538.40x = 965,302.80 × 194,258.40
  4. Step 4: Simplify right side
    643,538.40x = 187,518,177,443.52
  5. Step 5: Solve for x
    x = 187,518,177,443.52/643,538.40
  6. Step 6: Final answer
    x = 291,386.15

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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.