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Finding the Fourth Proportional to 702,970.02, 970,096.88 and 380,680.12

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Solution

The fourth proportional to 702,970.02, 970,096.88 and 380,680.12 is: 525,337.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,970.02 : 970,096.88 = 380,680.12 : x
  2. Step 2: Convert to fraction form
    702,970.02/970,096.88 = 380,680.12/x
  3. Step 3: Cross multiply
    702,970.02x = 970,096.88 × 380,680.12
  4. Step 4: Simplify right side
    702,970.02x = 369,296,596,690.03
  5. Step 5: Solve for x
    x = 369,296,596,690.03/702,970.02
  6. Step 6: Final answer
    x = 525,337.62

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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.