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Finding the Fourth Proportional to 729,547, 1,094,325.36 and 230,911

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Solution

The fourth proportional to 729,547, 1,094,325.36 and 230,911 is: 346,368.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    729,547 : 1,094,325.36 = 230,911 : x
  2. Step 2: Convert to fraction form
    729,547/1,094,325.36 = 230,911/x
  3. Step 3: Cross multiply
    729,547x = 1,094,325.36 × 230,911
  4. Step 4: Simplify right side
    729,547x = 252,691,763,202.96
  5. Step 5: Solve for x
    x = 252,691,763,202.96/729,547
  6. Step 6: Final answer
    x = 346,368.04

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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.