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Finding the Fourth Proportional to 470,434.80, 704,485.80 and 377,122.80

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Solution

The fourth proportional to 470,434.80, 704,485.80 and 377,122.80 is: 564,749.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,434.80 : 704,485.80 = 377,122.80 : x
  2. Step 2: Convert to fraction form
    470,434.80/704,485.80 = 377,122.80/x
  3. Step 3: Cross multiply
    470,434.80x = 704,485.80 × 377,122.80
  4. Step 4: Simplify right side
    470,434.80x = 265,677,657,456.24
  5. Step 5: Solve for x
    x = 265,677,657,456.24/470,434.80
  6. Step 6: Final answer
    x = 564,749.16

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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.