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Finding the Fourth Proportional to 242,413.44, 334,415.70 and 157,499.52

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Solution

The fourth proportional to 242,413.44, 334,415.70 and 157,499.52 is: 217,274.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,413.44 : 334,415.70 = 157,499.52 : x
  2. Step 2: Convert to fraction form
    242,413.44/334,415.70 = 157,499.52/x
  3. Step 3: Cross multiply
    242,413.44x = 334,415.70 × 157,499.52
  4. Step 4: Simplify right side
    242,413.44x = 52,670,312,230.46
  5. Step 5: Solve for x
    x = 52,670,312,230.46/242,413.44
  6. Step 6: Final answer
    x = 217,274.72

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1.5x scale

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.