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Finding the Fourth Proportional to 374,435.25, 516,720.02 and 213,290.20

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Solution

The fourth proportional to 374,435.25, 516,720.02 and 213,290.20 is: 294,340.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,435.25 : 516,720.02 = 213,290.20 : x
  2. Step 2: Convert to fraction form
    374,435.25/516,720.02 = 213,290.20/x
  3. Step 3: Cross multiply
    374,435.25x = 516,720.02 × 213,290.20
  4. Step 4: Simplify right side
    374,435.25x = 110,211,316,409.80
  5. Step 5: Solve for x
    x = 110,211,316,409.80/374,435.25
  6. Step 6: Final answer
    x = 294,340.12

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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.