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Finding the Fourth Proportional to 358,925.80, 495,315.30 and 197,782.12

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Solution

The fourth proportional to 358,925.80, 495,315.30 and 197,782.12 is: 272,938.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,925.80 : 495,315.30 = 197,782.12 : x
  2. Step 2: Convert to fraction form
    358,925.80/495,315.30 = 197,782.12/x
  3. Step 3: Cross multiply
    358,925.80x = 495,315.30 × 197,782.12
  4. Step 4: Simplify right side
    358,925.80x = 97,964,510,102.44
  5. Step 5: Solve for x
    x = 97,964,510,102.44/358,925.80
  6. Step 6: Final answer
    x = 272,938.06

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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.