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Finding the Fourth Proportional to 470,816.80, 705,058.80 and 302,077.60

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Solution

The fourth proportional to 470,816.80, 705,058.80 and 302,077.60 is: 452,368.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,816.80 : 705,058.80 = 302,077.60 : x
  2. Step 2: Convert to fraction form
    470,816.80/705,058.80 = 302,077.60/x
  3. Step 3: Cross multiply
    470,816.80x = 705,058.80 × 302,077.60
  4. Step 4: Simplify right side
    470,816.80x = 212,982,470,162.88
  5. Step 5: Solve for x
    x = 212,982,470,162.88/470,816.80
  6. Step 6: Final answer
    x = 452,368.03

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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.