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Finding the Fourth Proportional to 470,160.06, 648,820.88 and 268,956.06

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Solution

The fourth proportional to 470,160.06, 648,820.88 and 268,956.06 is: 371,159.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,160.06 : 648,820.88 = 268,956.06 : x
  2. Step 2: Convert to fraction form
    470,160.06/648,820.88 = 268,956.06/x
  3. Step 3: Cross multiply
    470,160.06x = 648,820.88 × 268,956.06
  4. Step 4: Simplify right side
    470,160.06x = 174,504,307,530.53
  5. Step 5: Solve for x
    x = 174,504,307,530.53/470,160.06
  6. Step 6: Final answer
    x = 371,159.36

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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.