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Finding the Fourth Proportional to 470,224.44, 648,914.49 and 255,368.70

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Solution

The fourth proportional to 470,224.44, 648,914.49 and 255,368.70 is: 352,411.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,224.44 : 648,914.49 = 255,368.70 : x
  2. Step 2: Convert to fraction form
    470,224.44/648,914.49 = 255,368.70/x
  3. Step 3: Cross multiply
    470,224.44x = 648,914.49 × 255,368.70
  4. Step 4: Simplify right side
    470,224.44x = 165,712,449,722.46
  5. Step 5: Solve for x
    x = 165,712,449,722.46/470,224.44
  6. Step 6: Final answer
    x = 352,411.39

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1.5x scale

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.