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Finding the Fourth Proportional to 590,418.40, 884,315.40 and 456,865.60

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Solution

The fourth proportional to 590,418.40, 884,315.40 and 456,865.60 is: 684,283.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,418.40 : 884,315.40 = 456,865.60 : x
  2. Step 2: Convert to fraction form
    590,418.40/884,315.40 = 456,865.60/x
  3. Step 3: Cross multiply
    590,418.40x = 884,315.40 × 456,865.60
  4. Step 4: Simplify right side
    590,418.40x = 404,013,285,810.24
  5. Step 5: Solve for x
    x = 404,013,285,810.24/590,418.40
  6. Step 6: Final answer
    x = 684,283.02

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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.