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Finding the Fourth Proportional to 343,050.63, 473,409.86 and 208,914.63

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Solution

The fourth proportional to 343,050.63, 473,409.86 and 208,914.63 is: 288,302.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,050.63 : 473,409.86 = 208,914.63 : x
  2. Step 2: Convert to fraction form
    343,050.63/473,409.86 = 208,914.63/x
  3. Step 3: Cross multiply
    343,050.63x = 473,409.86 × 208,914.63
  4. Step 4: Simplify right side
    343,050.63x = 98,902,245,740.25
  5. Step 5: Solve for x
    x = 98,902,245,740.25/343,050.63
  6. Step 6: Final answer
    x = 288,302.18

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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.