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Finding the Fourth Proportional to 763,401, 1,145,101.50 and 238,089

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Solution

The fourth proportional to 763,401, 1,145,101.50 and 238,089 is: 357,133.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    763,401 : 1,145,101.50 = 238,089 : x
  2. Step 2: Convert to fraction form
    763,401/1,145,101.50 = 238,089/x
  3. Step 3: Cross multiply
    763,401x = 1,145,101.50 × 238,089
  4. Step 4: Simplify right side
    763,401x = 272,636,071,033.50
  5. Step 5: Solve for x
    x = 272,636,071,033.50/763,401
  6. Step 6: Final answer
    x = 357,133.50

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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.