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Finding the Fourth Proportional to 265,430.40, 398,145.60 and 165,703.20

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Solution

The fourth proportional to 265,430.40, 398,145.60 and 165,703.20 is: 248,554.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,430.40 : 398,145.60 = 165,703.20 : x
  2. Step 2: Convert to fraction form
    265,430.40/398,145.60 = 165,703.20/x
  3. Step 3: Cross multiply
    265,430.40x = 398,145.60 × 165,703.20
  4. Step 4: Simplify right side
    265,430.40x = 65,973,999,985.92
  5. Step 5: Solve for x
    x = 65,973,999,985.92/265,430.40
  6. Step 6: Final answer
    x = 248,554.80

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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.