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Finding the Fourth Proportional to 470,960.80, 704,828.40 and 284,106.40

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Solution

The fourth proportional to 470,960.80, 704,828.40 and 284,106.40 is: 425,186.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,960.80 : 704,828.40 = 284,106.40 : x
  2. Step 2: Convert to fraction form
    470,960.80/704,828.40 = 284,106.40/x
  3. Step 3: Cross multiply
    470,960.80x = 704,828.40 × 284,106.40
  4. Step 4: Simplify right side
    470,960.80x = 200,246,259,341.76
  5. Step 5: Solve for x
    x = 200,246,259,341.76/470,960.80
  6. Step 6: Final answer
    x = 425,186.68

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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.