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Finding the Fourth Proportional to 702,931.25, 970,049.74 and 380,641.37

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Solution

The fourth proportional to 702,931.25, 970,049.74 and 380,641.37 is: 525,287.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,931.25 : 970,049.74 = 380,641.37 : x
  2. Step 2: Convert to fraction form
    702,931.25/970,049.74 = 380,641.37/x
  3. Step 3: Cross multiply
    702,931.25x = 970,049.74 × 380,641.37
  4. Step 4: Simplify right side
    702,931.25x = 369,241,062,001.74
  5. Step 5: Solve for x
    x = 369,241,062,001.74/702,931.25
  6. Step 6: Final answer
    x = 525,287.59

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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.