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Finding the Fourth Proportional to 538,271.64, 807,413.62 and 230,482.16

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Solution

The fourth proportional to 538,271.64, 807,413.62 and 230,482.16 is: 345,725.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,271.64 : 807,413.62 = 230,482.16 : x
  2. Step 2: Convert to fraction form
    538,271.64/807,413.62 = 230,482.16/x
  3. Step 3: Cross multiply
    538,271.64x = 807,413.62 × 230,482.16
  4. Step 4: Simplify right side
    538,271.64x = 186,094,435,151.02
  5. Step 5: Solve for x
    x = 186,094,435,151.02/538,271.64
  6. Step 6: Final answer
    x = 345,725.88

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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.