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Finding the Fourth Proportional to 354,547, 531,522.24 and 164,911

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Solution

The fourth proportional to 354,547, 531,522.24 and 164,911 is: 247,227.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,547 : 531,522.24 = 164,911 : x
  2. Step 2: Convert to fraction form
    354,547/531,522.24 = 164,911/x
  3. Step 3: Cross multiply
    354,547x = 531,522.24 × 164,911
  4. Step 4: Simplify right side
    354,547x = 87,653,864,120.64
  5. Step 5: Solve for x
    x = 87,653,864,120.64/354,547
  6. Step 6: Final answer
    x = 247,227.77

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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.