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Finding the Fourth Proportional to 367,547.16, 551,417.94 and 198,992.64

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Solution

The fourth proportional to 367,547.16, 551,417.94 and 198,992.64 is: 298,541.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,547.16 : 551,417.94 = 198,992.64 : x
  2. Step 2: Convert to fraction form
    367,547.16/551,417.94 = 198,992.64/x
  3. Step 3: Cross multiply
    367,547.16x = 551,417.94 × 198,992.64
  4. Step 4: Simplify right side
    367,547.16x = 109,728,111,623.96
  5. Step 5: Solve for x
    x = 109,728,111,623.96/367,547.16
  6. Step 6: Final answer
    x = 298,541.58

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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.