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Finding the Fourth Proportional to 281,419.82, 388,359.98 and 152,359.64

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Solution

The fourth proportional to 281,419.82, 388,359.98 and 152,359.64 is: 210,256.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,419.82 : 388,359.98 = 152,359.64 : x
  2. Step 2: Convert to fraction form
    281,419.82/388,359.98 = 152,359.64/x
  3. Step 3: Cross multiply
    281,419.82x = 388,359.98 × 152,359.64
  4. Step 4: Simplify right side
    281,419.82x = 59,170,386,743.21
  5. Step 5: Solve for x
    x = 59,170,386,743.21/281,419.82
  6. Step 6: Final answer
    x = 210,256.64

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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.