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Finding the Fourth Proportional to 310,424.58, 428,297.63 and 174,444.21

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Solution

The fourth proportional to 310,424.58, 428,297.63 and 174,444.21 is: 240,683.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,424.58 : 428,297.63 = 174,444.21 : x
  2. Step 2: Convert to fraction form
    310,424.58/428,297.63 = 174,444.21/x
  3. Step 3: Cross multiply
    310,424.58x = 428,297.63 × 174,444.21
  4. Step 4: Simplify right side
    310,424.58x = 74,714,040,838.00
  5. Step 5: Solve for x
    x = 74,714,040,838.00/310,424.58
  6. Step 6: Final answer
    x = 240,683.39

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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.