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Finding the Fourth Proportional to 302,413.60, 417,303.66 and 175,097.80

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Solution

The fourth proportional to 302,413.60, 417,303.66 and 175,097.80 is: 241,619.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,413.60 : 417,303.66 = 175,097.80 : x
  2. Step 2: Convert to fraction form
    302,413.60/417,303.66 = 175,097.80/x
  3. Step 3: Cross multiply
    302,413.60x = 417,303.66 × 175,097.80
  4. Step 4: Simplify right side
    302,413.60x = 73,068,952,797.95
  5. Step 5: Solve for x
    x = 73,068,952,797.95/302,413.60
  6. Step 6: Final answer
    x = 241,619.27

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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.