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Finding the Fourth Proportional to 473,276.96, 652,790.81 and 320,247.80

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Solution

The fourth proportional to 473,276.96, 652,790.81 and 320,247.80 is: 441,717.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,276.96 : 652,790.81 = 320,247.80 : x
  2. Step 2: Convert to fraction form
    473,276.96/652,790.81 = 320,247.80/x
  3. Step 3: Cross multiply
    473,276.96x = 652,790.81 × 320,247.80
  4. Step 4: Simplify right side
    473,276.96x = 209,054,820,762.72
  5. Step 5: Solve for x
    x = 209,054,820,762.72/473,276.96
  6. Step 6: Final answer
    x = 441,717.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.