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Finding the Fourth Proportional to 410,828.70, 616,243.05 and 275,526.30

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Solution

The fourth proportional to 410,828.70, 616,243.05 and 275,526.30 is: 413,289.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,828.70 : 616,243.05 = 275,526.30 : x
  2. Step 2: Convert to fraction form
    410,828.70/616,243.05 = 275,526.30/x
  3. Step 3: Cross multiply
    410,828.70x = 616,243.05 × 275,526.30
  4. Step 4: Simplify right side
    410,828.70x = 169,791,167,467.22
  5. Step 5: Solve for x
    x = 169,791,167,467.22/410,828.70
  6. Step 6: Final answer
    x = 413,289.45

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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.