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Finding the Fourth Proportional to 475,478.54, 712,794.50 and 171,804.97

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Solution

The fourth proportional to 475,478.54, 712,794.50 and 171,804.97 is: 257,554.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,478.54 : 712,794.50 = 171,804.97 : x
  2. Step 2: Convert to fraction form
    475,478.54/712,794.50 = 171,804.97/x
  3. Step 3: Cross multiply
    475,478.54x = 712,794.50 × 171,804.97
  4. Step 4: Simplify right side
    475,478.54x = 122,461,634,278.32
  5. Step 5: Solve for x
    x = 122,461,634,278.32/475,478.54
  6. Step 6: Final answer
    x = 257,554.49

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1.5x scale

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.