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Finding the Fourth Proportional to 594,009.40, 889,701.90 and 460,456.60

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Solution

The fourth proportional to 594,009.40, 889,701.90 and 460,456.60 is: 689,667.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,009.40 : 889,701.90 = 460,456.60 : x
  2. Step 2: Convert to fraction form
    594,009.40/889,701.90 = 460,456.60/x
  3. Step 3: Cross multiply
    594,009.40x = 889,701.90 × 460,456.60
  4. Step 4: Simplify right side
    594,009.40x = 409,669,111,887.54
  5. Step 5: Solve for x
    x = 409,669,111,887.54/594,009.40
  6. Step 6: Final answer
    x = 689,667.73

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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.