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Finding the Fourth Proportional to 277,641.64, 383,145.66 and 150,317.32

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Solution

The fourth proportional to 277,641.64, 383,145.66 and 150,317.32 is: 207,438.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,641.64 : 383,145.66 = 150,317.32 : x
  2. Step 2: Convert to fraction form
    277,641.64/383,145.66 = 150,317.32/x
  3. Step 3: Cross multiply
    277,641.64x = 383,145.66 × 150,317.32
  4. Step 4: Simplify right side
    277,641.64x = 57,593,428,780.83
  5. Step 5: Solve for x
    x = 57,593,428,780.83/277,641.64
  6. Step 6: Final answer
    x = 207,438.01

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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.