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Finding the Fourth Proportional to 277,752.72, 383,298.64 and 150,428.32

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Solution

The fourth proportional to 277,752.72, 383,298.64 and 150,428.32 is: 207,591.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,752.72 : 383,298.64 = 150,428.32 : x
  2. Step 2: Convert to fraction form
    277,752.72/383,298.64 = 150,428.32/x
  3. Step 3: Cross multiply
    277,752.72x = 383,298.64 × 150,428.32
  4. Step 4: Simplify right side
    277,752.72x = 57,658,970,473.48
  5. Step 5: Solve for x
    x = 57,658,970,473.48/277,752.72
  6. Step 6: Final answer
    x = 207,591.02

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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.