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Finding the Fourth Proportional to 470,158.06, 648,818.13 and 268,954.06

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Solution

The fourth proportional to 470,158.06, 648,818.13 and 268,954.06 is: 371,156.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,158.06 : 648,818.13 = 268,954.06 : x
  2. Step 2: Convert to fraction form
    470,158.06/648,818.13 = 268,954.06/x
  3. Step 3: Cross multiply
    470,158.06x = 648,818.13 × 268,954.06
  4. Step 4: Simplify right side
    470,158.06x = 174,502,270,265.11
  5. Step 5: Solve for x
    x = 174,502,270,265.11/470,158.06
  6. Step 6: Final answer
    x = 371,156.61

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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.