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Finding the Fourth Proportional to 702,985.79, 970,118.46 and 380,695.80

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Solution

The fourth proportional to 702,985.79, 970,118.46 and 380,695.80 is: 525,359.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,985.79 : 970,118.46 = 380,695.80 : x
  2. Step 2: Convert to fraction form
    702,985.79/970,118.46 = 380,695.80/x
  3. Step 3: Cross multiply
    702,985.79x = 970,118.46 × 380,695.80
  4. Step 4: Simplify right side
    702,985.79x = 369,320,023,224.47
  5. Step 5: Solve for x
    x = 369,320,023,224.47/702,985.79
  6. Step 6: Final answer
    x = 525,359.16

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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.