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Finding the Fourth Proportional to 470,798.51, 649,092.13 and 304,931.37

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Solution

The fourth proportional to 470,798.51, 649,092.13 and 304,931.37 is: 420,410.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,798.51 : 649,092.13 = 304,931.37 : x
  2. Step 2: Convert to fraction form
    470,798.51/649,092.13 = 304,931.37/x
  3. Step 3: Cross multiply
    470,798.51x = 649,092.13 × 304,931.37
  4. Step 4: Simplify right side
    470,798.51x = 197,928,552,457.12
  5. Step 5: Solve for x
    x = 197,928,552,457.12/470,798.51
  6. Step 6: Final answer
    x = 420,410.32

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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.