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Finding the Fourth Proportional to 532,189.60, 798,543.60 and 405,786.40

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Solution

The fourth proportional to 532,189.60, 798,543.60 and 405,786.40 is: 608,877.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,189.60 : 798,543.60 = 405,786.40 : x
  2. Step 2: Convert to fraction form
    532,189.60/798,543.60 = 405,786.40/x
  3. Step 3: Cross multiply
    532,189.60x = 798,543.60 × 405,786.40
  4. Step 4: Simplify right side
    532,189.60x = 324,038,132,687.04
  5. Step 5: Solve for x
    x = 324,038,132,687.04/532,189.60
  6. Step 6: Final answer
    x = 608,877.24

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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.