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Finding the Fourth Proportional to 410,684.69, 614,528.33 and 242,285.69

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Solution

The fourth proportional to 410,684.69, 614,528.33 and 242,285.69 is: 362,544.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,684.69 : 614,528.33 = 242,285.69 : x
  2. Step 2: Convert to fraction form
    410,684.69/614,528.33 = 242,285.69/x
  3. Step 3: Cross multiply
    410,684.69x = 614,528.33 × 242,285.69
  4. Step 4: Simplify right side
    410,684.69x = 148,891,420,783.49
  5. Step 5: Solve for x
    x = 148,891,420,783.49/410,684.69
  6. Step 6: Final answer
    x = 362,544.36

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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.