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Finding the Fourth Proportional to 535,019.68, 802,296.22 and 202,362.40

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Solution

The fourth proportional to 535,019.68, 802,296.22 and 202,362.40 is: 303,455.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,019.68 : 802,296.22 = 202,362.40 : x
  2. Step 2: Convert to fraction form
    535,019.68/802,296.22 = 202,362.40/x
  3. Step 3: Cross multiply
    535,019.68x = 802,296.22 × 202,362.40
  4. Step 4: Simplify right side
    535,019.68x = 162,354,588,590.13
  5. Step 5: Solve for x
    x = 162,354,588,590.13/535,019.68
  6. Step 6: Final answer
    x = 303,455.36

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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.