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Finding the Fourth Proportional to 874,902.70, 1,312,354.05 and 313,864.30

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Solution

The fourth proportional to 874,902.70, 1,312,354.05 and 313,864.30 is: 470,796.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    874,902.70 : 1,312,354.05 = 313,864.30 : x
  2. Step 2: Convert to fraction form
    874,902.70/1,312,354.05 = 313,864.30/x
  3. Step 3: Cross multiply
    874,902.70x = 1,312,354.05 × 313,864.30
  4. Step 4: Simplify right side
    874,902.70x = 411,901,085,255.42
  5. Step 5: Solve for x
    x = 411,901,085,255.42/874,902.70
  6. Step 6: Final answer
    x = 470,796.45

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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.