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Finding the Fourth Proportional to 413,901.90, 619,540.65 and 295,803.90

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Solution

The fourth proportional to 413,901.90, 619,540.65 and 295,803.90 is: 442,768.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,901.90 : 619,540.65 = 295,803.90 : x
  2. Step 2: Convert to fraction form
    413,901.90/619,540.65 = 295,803.90/x
  3. Step 3: Cross multiply
    413,901.90x = 619,540.65 × 295,803.90
  4. Step 4: Simplify right side
    413,901.90x = 183,262,540,478.54
  5. Step 5: Solve for x
    x = 183,262,540,478.54/413,901.90
  6. Step 6: Final answer
    x = 442,768.06

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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.