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Finding the Fourth Proportional to 295,018.54, 442,516.41 and 84,656.46

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Solution

The fourth proportional to 295,018.54, 442,516.41 and 84,656.46 is: 126,981.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,018.54 : 442,516.41 = 84,656.46 : x
  2. Step 2: Convert to fraction form
    295,018.54/442,516.41 = 84,656.46/x
  3. Step 3: Cross multiply
    295,018.54x = 442,516.41 × 84,656.46
  4. Step 4: Simplify right side
    295,018.54x = 37,461,872,762.51
  5. Step 5: Solve for x
    x = 37,461,872,762.51/295,018.54
  6. Step 6: Final answer
    x = 126,981.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.