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Finding the Fourth Proportional to 702,930.06, 970,048.10 and 380,640.18

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Solution

The fourth proportional to 702,930.06, 970,048.10 and 380,640.18 is: 525,285.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,930.06 : 970,048.10 = 380,640.18 : x
  2. Step 2: Convert to fraction form
    702,930.06/970,048.10 = 380,640.18/x
  3. Step 3: Cross multiply
    702,930.06x = 970,048.10 × 380,640.18
  4. Step 4: Simplify right side
    702,930.06x = 369,239,281,489.46
  5. Step 5: Solve for x
    x = 369,239,281,489.46/702,930.06
  6. Step 6: Final answer
    x = 525,285.95

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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.