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Finding the Fourth Proportional to 484,413.40, 725,928.90 and 357,059.80

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Solution

The fourth proportional to 484,413.40, 725,928.90 and 357,059.80 is: 535,080.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,413.40 : 725,928.90 = 357,059.80 : x
  2. Step 2: Convert to fraction form
    484,413.40/725,928.90 = 357,059.80/x
  3. Step 3: Cross multiply
    484,413.40x = 725,928.90 × 357,059.80
  4. Step 4: Simplify right side
    484,413.40x = 259,200,027,848.22
  5. Step 5: Solve for x
    x = 259,200,027,848.22/484,413.40
  6. Step 6: Final answer
    x = 535,080.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.