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Finding the Fourth Proportional to 306,896.80, 461,036.40 and 298,602.40

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Solution

The fourth proportional to 306,896.80, 461,036.40 and 298,602.40 is: 448,576.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,896.80 : 461,036.40 = 298,602.40 : x
  2. Step 2: Convert to fraction form
    306,896.80/461,036.40 = 298,602.40/x
  3. Step 3: Cross multiply
    306,896.80x = 461,036.40 × 298,602.40
  4. Step 4: Simplify right side
    306,896.80x = 137,666,575,527.36
  5. Step 5: Solve for x
    x = 137,666,575,527.36/306,896.80
  6. Step 6: Final answer
    x = 448,576.12

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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.