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Finding the Fourth Proportional to 315,725.22, 473,774.72 and 116,185.77

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Solution

The fourth proportional to 315,725.22, 473,774.72 and 116,185.77 is: 174,347.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,725.22 : 473,774.72 = 116,185.77 : x
  2. Step 2: Convert to fraction form
    315,725.22/473,774.72 = 116,185.77/x
  3. Step 3: Cross multiply
    315,725.22x = 473,774.72 × 116,185.77
  4. Step 4: Simplify right side
    315,725.22x = 55,045,880,068.81
  5. Step 5: Solve for x
    x = 55,045,880,068.81/315,725.22
  6. Step 6: Final answer
    x = 174,347.43

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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.