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Finding the Fourth Proportional to 561,233.34, 841,849.29 and 140,509.17

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Solution

The fourth proportional to 561,233.34, 841,849.29 and 140,509.17 is: 210,763.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,233.34 : 841,849.29 = 140,509.17 : x
  2. Step 2: Convert to fraction form
    561,233.34/841,849.29 = 140,509.17/x
  3. Step 3: Cross multiply
    561,233.34x = 841,849.29 × 140,509.17
  4. Step 4: Simplify right side
    561,233.34x = 118,287,545,002.99
  5. Step 5: Solve for x
    x = 118,287,545,002.99/561,233.34
  6. Step 6: Final answer
    x = 210,763.57

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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.