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Finding the Fourth Proportional to 277,838.72, 383,417.35 and 150,514.28

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Solution

The fourth proportional to 277,838.72, 383,417.35 and 150,514.28 is: 207,709.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,838.72 : 383,417.35 = 150,514.28 : x
  2. Step 2: Convert to fraction form
    277,838.72/383,417.35 = 150,514.28/x
  3. Step 3: Cross multiply
    277,838.72x = 383,417.35 × 150,514.28
  4. Step 4: Simplify right side
    277,838.72x = 57,709,784,457.67
  5. Step 5: Solve for x
    x = 57,709,784,457.67/277,838.72
  6. Step 6: Final answer
    x = 207,709.66

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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.