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Finding the Fourth Proportional to 277,624.20, 415,853.10 and 152,819.40

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Solution

The fourth proportional to 277,624.20, 415,853.10 and 152,819.40 is: 228,908.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,624.20 : 415,853.10 = 152,819.40 : x
  2. Step 2: Convert to fraction form
    277,624.20/415,853.10 = 152,819.40/x
  3. Step 3: Cross multiply
    277,624.20x = 415,853.10 × 152,819.40
  4. Step 4: Simplify right side
    277,624.20x = 63,550,421,230.14
  5. Step 5: Solve for x
    x = 63,550,421,230.14/277,624.20
  6. Step 6: Final answer
    x = 228,908.08

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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.