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Finding the Fourth Proportional to 301,702.94, 416,303.82 and 174,353.96

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Solution

The fourth proportional to 301,702.94, 416,303.82 and 174,353.96 is: 240,581.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,702.94 : 416,303.82 = 174,353.96 : x
  2. Step 2: Convert to fraction form
    301,702.94/416,303.82 = 174,353.96/x
  3. Step 3: Cross multiply
    301,702.94x = 416,303.82 × 174,353.96
  4. Step 4: Simplify right side
    301,702.94x = 72,584,219,580.13
  5. Step 5: Solve for x
    x = 72,584,219,580.13/301,702.94
  6. Step 6: Final answer
    x = 240,581.74

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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.