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Finding the Fourth Proportional to 301,708.94, 416,312.10 and 174,359.96

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Solution

The fourth proportional to 301,708.94, 416,312.10 and 174,359.96 is: 240,590.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,708.94 : 416,312.10 = 174,359.96 : x
  2. Step 2: Convert to fraction form
    301,708.94/416,312.10 = 174,359.96/x
  3. Step 3: Cross multiply
    301,708.94x = 416,312.10 × 174,359.96
  4. Step 4: Simplify right side
    301,708.94x = 72,588,161,103.52
  5. Step 5: Solve for x
    x = 72,588,161,103.52/301,708.94
  6. Step 6: Final answer
    x = 240,590.02

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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.