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Finding the Fourth Proportional to 298,671.60, 448,001.64 and 74,032.50

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Solution

The fourth proportional to 298,671.60, 448,001.64 and 74,032.50 is: 111,047.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,671.60 : 448,001.64 = 74,032.50 : x
  2. Step 2: Convert to fraction form
    298,671.60/448,001.64 = 74,032.50/x
  3. Step 3: Cross multiply
    298,671.60x = 448,001.64 × 74,032.50
  4. Step 4: Simplify right side
    298,671.60x = 33,166,681,413.30
  5. Step 5: Solve for x
    x = 33,166,681,413.30/298,671.60
  6. Step 6: Final answer
    x = 111,047.32

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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.