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Finding the Fourth Proportional to 265,526.63, 398,290.32 and 202,703.45

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Solution

The fourth proportional to 265,526.63, 398,290.32 and 202,703.45 is: 304,055.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,526.63 : 398,290.32 = 202,703.45 : x
  2. Step 2: Convert to fraction form
    265,526.63/398,290.32 = 202,703.45/x
  3. Step 3: Cross multiply
    265,526.63x = 398,290.32 × 202,703.45
  4. Step 4: Simplify right side
    265,526.63x = 80,734,819,974.15
  5. Step 5: Solve for x
    x = 80,734,819,974.15/265,526.63
  6. Step 6: Final answer
    x = 304,055.46

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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.