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Finding the Fourth Proportional to 713,303.07, 984,458.93 and 441,458.43

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Solution

The fourth proportional to 713,303.07, 984,458.93 and 441,458.43 is: 609,274.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,303.07 : 984,458.93 = 441,458.43 : x
  2. Step 2: Convert to fraction form
    713,303.07/984,458.93 = 441,458.43/x
  3. Step 3: Cross multiply
    713,303.07x = 984,458.93 × 441,458.43
  4. Step 4: Simplify right side
    713,303.07x = 434,597,693,637.28
  5. Step 5: Solve for x
    x = 434,597,693,637.28/713,303.07
  6. Step 6: Final answer
    x = 609,274.95

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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.