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Finding the Fourth Proportional to 315,513.90, 435,357.78 and 186,434.40

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Solution

The fourth proportional to 315,513.90, 435,357.78 and 186,434.40 is: 257,249.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,513.90 : 435,357.78 = 186,434.40 : x
  2. Step 2: Convert to fraction form
    315,513.90/435,357.78 = 186,434.40/x
  3. Step 3: Cross multiply
    315,513.90x = 435,357.78 × 186,434.40
  4. Step 4: Simplify right side
    315,513.90x = 81,165,666,499.63
  5. Step 5: Solve for x
    x = 81,165,666,499.63/315,513.90
  6. Step 6: Final answer
    x = 257,249.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.