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Finding the Fourth Proportional to 497,370.40, 746,055.60 and 164,903.20

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Solution

The fourth proportional to 497,370.40, 746,055.60 and 164,903.20 is: 247,354.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,370.40 : 746,055.60 = 164,903.20 : x
  2. Step 2: Convert to fraction form
    497,370.40/746,055.60 = 164,903.20/x
  3. Step 3: Cross multiply
    497,370.40x = 746,055.60 × 164,903.20
  4. Step 4: Simplify right side
    497,370.40x = 123,026,955,817.92
  5. Step 5: Solve for x
    x = 123,026,955,817.92/497,370.40
  6. Step 6: Final answer
    x = 247,354.80

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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.