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Finding the Fourth Proportional to 702,979.16, 970,106.42 and 380,681.88

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Solution

The fourth proportional to 702,979.16, 970,106.42 and 380,681.88 is: 525,338.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,979.16 : 970,106.42 = 380,681.88 : x
  2. Step 2: Convert to fraction form
    702,979.16/970,106.42 = 380,681.88/x
  3. Step 3: Cross multiply
    702,979.16x = 970,106.42 × 380,681.88
  4. Step 4: Simplify right side
    702,979.16x = 369,301,935,765.67
  5. Step 5: Solve for x
    x = 369,301,935,765.67/702,979.16
  6. Step 6: Final answer
    x = 525,338.38

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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.