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Finding the Fourth Proportional to 540,657.44, 746,199.60 and 314,436.32

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Solution

The fourth proportional to 540,657.44, 746,199.60 and 314,436.32 is: 433,975.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,657.44 : 746,199.60 = 314,436.32 : x
  2. Step 2: Convert to fraction form
    540,657.44/746,199.60 = 314,436.32/x
  3. Step 3: Cross multiply
    540,657.44x = 746,199.60 × 314,436.32
  4. Step 4: Simplify right side
    540,657.44x = 234,632,256,209.47
  5. Step 5: Solve for x
    x = 234,632,256,209.47/540,657.44
  6. Step 6: Final answer
    x = 433,975.82

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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.