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Finding the Fourth Proportional to 402,701.60, 604,052.40 and 165,922.40

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Solution

The fourth proportional to 402,701.60, 604,052.40 and 165,922.40 is: 248,883.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,701.60 : 604,052.40 = 165,922.40 : x
  2. Step 2: Convert to fraction form
    402,701.60/604,052.40 = 165,922.40/x
  3. Step 3: Cross multiply
    402,701.60x = 604,052.40 × 165,922.40
  4. Step 4: Simplify right side
    402,701.60x = 100,225,823,933.76
  5. Step 5: Solve for x
    x = 100,225,823,933.76/402,701.60
  6. Step 6: Final answer
    x = 248,883.60

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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.