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Finding the Fourth Proportional to 706,007.97, 974,164.19 and 419,598.45

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Solution

The fourth proportional to 706,007.97, 974,164.19 and 419,598.45 is: 578,970.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,007.97 : 974,164.19 = 419,598.45 : x
  2. Step 2: Convert to fraction form
    706,007.97/974,164.19 = 419,598.45/x
  3. Step 3: Cross multiply
    706,007.97x = 974,164.19 × 419,598.45
  4. Step 4: Simplify right side
    706,007.97x = 408,757,782,071.51
  5. Step 5: Solve for x
    x = 408,757,782,071.51/706,007.97
  6. Step 6: Final answer
    x = 578,970.49

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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.