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Finding the Fourth Proportional to 349,159.65, 523,729.09 and 96,455.34

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Solution

The fourth proportional to 349,159.65, 523,729.09 and 96,455.34 is: 144,680.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,159.65 : 523,729.09 = 96,455.34 : x
  2. Step 2: Convert to fraction form
    349,159.65/523,729.09 = 96,455.34/x
  3. Step 3: Cross multiply
    349,159.65x = 523,729.09 × 96,455.34
  4. Step 4: Simplify right side
    349,159.65x = 50,516,467,564.41
  5. Step 5: Solve for x
    x = 50,516,467,564.41/349,159.65
  6. Step 6: Final answer
    x = 144,680.14

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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.