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Finding the Fourth Proportional to 292,482.32, 438,723.60 and 105,493.80

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Solution

The fourth proportional to 292,482.32, 438,723.60 and 105,493.80 is: 158,240.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,482.32 : 438,723.60 = 105,493.80 : x
  2. Step 2: Convert to fraction form
    292,482.32/438,723.60 = 105,493.80/x
  3. Step 3: Cross multiply
    292,482.32x = 438,723.60 × 105,493.80
  4. Step 4: Simplify right side
    292,482.32x = 46,282,619,713.68
  5. Step 5: Solve for x
    x = 46,282,619,713.68/292,482.32
  6. Step 6: Final answer
    x = 158,240.74

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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.