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Finding the Fourth Proportional to 345,659.51, 477,038.54 and 190,641.13

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Solution

The fourth proportional to 345,659.51, 477,038.54 and 190,641.13 is: 263,100.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,659.51 : 477,038.54 = 190,641.13 : x
  2. Step 2: Convert to fraction form
    345,659.51/477,038.54 = 190,641.13/x
  3. Step 3: Cross multiply
    345,659.51x = 477,038.54 × 190,641.13
  4. Step 4: Simplify right side
    345,659.51x = 90,943,164,173.35
  5. Step 5: Solve for x
    x = 90,943,164,173.35/345,659.51
  6. Step 6: Final answer
    x = 263,100.43

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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.