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Finding the Fourth Proportional to 513,544.40, 708,669.96 and 298,684.88

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Solution

The fourth proportional to 513,544.40, 708,669.96 and 298,684.88 is: 412,172.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,544.40 : 708,669.96 = 298,684.88 : x
  2. Step 2: Convert to fraction form
    513,544.40/708,669.96 = 298,684.88/x
  3. Step 3: Cross multiply
    513,544.40x = 708,669.96 × 298,684.88
  4. Step 4: Simplify right side
    513,544.40x = 211,669,001,962.21
  5. Step 5: Solve for x
    x = 211,669,001,962.21/513,544.40
  6. Step 6: Final answer
    x = 412,172.74

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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.