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Finding the Fourth Proportional to 340,966.36, 470,501.46 and 197,710.88

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Solution

The fourth proportional to 340,966.36, 470,501.46 and 197,710.88 is: 272,822.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,966.36 : 470,501.46 = 197,710.88 : x
  2. Step 2: Convert to fraction form
    340,966.36/470,501.46 = 197,710.88/x
  3. Step 3: Cross multiply
    340,966.36x = 470,501.46 × 197,710.88
  4. Step 4: Simplify right side
    340,966.36x = 93,023,255,345.38
  5. Step 5: Solve for x
    x = 93,023,255,345.38/340,966.36
  6. Step 6: Final answer
    x = 272,822.38

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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.