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Finding the Fourth Proportional to 348,146.16, 480,440.88 and 197,243.16

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Solution

The fourth proportional to 348,146.16, 480,440.88 and 197,243.16 is: 272,195.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,146.16 : 480,440.88 = 197,243.16 : x
  2. Step 2: Convert to fraction form
    348,146.16/480,440.88 = 197,243.16/x
  3. Step 3: Cross multiply
    348,146.16x = 480,440.88 × 197,243.16
  4. Step 4: Simplify right side
    348,146.16x = 94,763,677,364.38
  5. Step 5: Solve for x
    x = 94,763,677,364.38/348,146.16
  6. Step 6: Final answer
    x = 272,195.10

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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.