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Finding the Fourth Proportional to 470,053.26, 648,673.50 and 255,193.32

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Solution

The fourth proportional to 470,053.26, 648,673.50 and 255,193.32 is: 352,166.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,053.26 : 648,673.50 = 255,193.32 : x
  2. Step 2: Convert to fraction form
    470,053.26/648,673.50 = 255,193.32/x
  3. Step 3: Cross multiply
    470,053.26x = 648,673.50 × 255,193.32
  4. Step 4: Simplify right side
    470,053.26x = 165,537,144,061.02
  5. Step 5: Solve for x
    x = 165,537,144,061.02/470,053.26
  6. Step 6: Final answer
    x = 352,166.78

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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.