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Finding the Fourth Proportional to 364,532.40, 546,798.60 and 298,047.60

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Solution

The fourth proportional to 364,532.40, 546,798.60 and 298,047.60 is: 447,071.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,532.40 : 546,798.60 = 298,047.60 : x
  2. Step 2: Convert to fraction form
    364,532.40/546,798.60 = 298,047.60/x
  3. Step 3: Cross multiply
    364,532.40x = 546,798.60 × 298,047.60
  4. Step 4: Simplify right side
    364,532.40x = 162,972,010,413.36
  5. Step 5: Solve for x
    x = 162,972,010,413.36/364,532.40
  6. Step 6: Final answer
    x = 447,071.40

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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.