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Finding the Fourth Proportional to 702,384.23, 969,290.24 and 380,094.33

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Solution

The fourth proportional to 702,384.23, 969,290.24 and 380,094.33 is: 524,530.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,384.23 : 969,290.24 = 380,094.33 : x
  2. Step 2: Convert to fraction form
    702,384.23/969,290.24 = 380,094.33/x
  3. Step 3: Cross multiply
    702,384.23x = 969,290.24 × 380,094.33
  4. Step 4: Simplify right side
    702,384.23x = 368,421,721,450.00
  5. Step 5: Solve for x
    x = 368,421,721,450.00/702,384.23
  6. Step 6: Final answer
    x = 524,530.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.