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Finding the Fourth Proportional to 405,971.60, 608,957.40 and 405,971.60

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Solution

The fourth proportional to 405,971.60, 608,957.40 and 405,971.60 is: 608,957.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,971.60 : 608,957.40 = 405,971.60 : x
  2. Step 2: Convert to fraction form
    405,971.60/608,957.40 = 405,971.60/x
  3. Step 3: Cross multiply
    405,971.60x = 608,957.40 × 405,971.60
  4. Step 4: Simplify right side
    405,971.60x = 247,219,410,009.84
  5. Step 5: Solve for x
    x = 247,219,410,009.84/405,971.60
  6. Step 6: Final answer
    x = 608,957.40

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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.