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Finding the Fourth Proportional to 340,622.33, 470,058.59 and 197,465.45

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Solution

The fourth proportional to 340,622.33, 470,058.59 and 197,465.45 is: 272,502.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,622.33 : 470,058.59 = 197,465.45 : x
  2. Step 2: Convert to fraction form
    340,622.33/470,058.59 = 197,465.45/x
  3. Step 3: Cross multiply
    340,622.33x = 470,058.59 × 197,465.45
  4. Step 4: Simplify right side
    340,622.33x = 92,820,330,013.39
  5. Step 5: Solve for x
    x = 92,820,330,013.39/340,622.33
  6. Step 6: Final answer
    x = 272,502.19

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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.