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Finding the Fourth Proportional to 601,657.60, 902,140.80 and 180,870.40

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Solution

The fourth proportional to 601,657.60, 902,140.80 and 180,870.40 is: 271,201.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,657.60 : 902,140.80 = 180,870.40 : x
  2. Step 2: Convert to fraction form
    601,657.60/902,140.80 = 180,870.40/x
  3. Step 3: Cross multiply
    601,657.60x = 902,140.80 × 180,870.40
  4. Step 4: Simplify right side
    601,657.60x = 163,170,567,352.32
  5. Step 5: Solve for x
    x = 163,170,567,352.32/601,657.60
  6. Step 6: Final answer
    x = 271,201.71

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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.