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Finding the Fourth Proportional to 460,336.40, 690,598.72 and 194,097.20

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Solution

The fourth proportional to 460,336.40, 690,598.72 and 194,097.20 is: 291,185.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,336.40 : 690,598.72 = 194,097.20 : x
  2. Step 2: Convert to fraction form
    460,336.40/690,598.72 = 194,097.20/x
  3. Step 3: Cross multiply
    460,336.40x = 690,598.72 × 194,097.20
  4. Step 4: Simplify right side
    460,336.40x = 134,043,277,875.58
  5. Step 5: Solve for x
    x = 134,043,277,875.58/460,336.40
  6. Step 6: Final answer
    x = 291,185.48

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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.