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Finding the Fourth Proportional to 535,019.31, 802,295.65 and 202,362.03

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Solution

The fourth proportional to 535,019.31, 802,295.65 and 202,362.03 is: 303,454.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,019.31 : 802,295.65 = 202,362.03 : x
  2. Step 2: Convert to fraction form
    535,019.31/802,295.65 = 202,362.03/x
  3. Step 3: Cross multiply
    535,019.31x = 802,295.65 × 202,362.03
  4. Step 4: Simplify right side
    535,019.31x = 162,354,176,394.17
  5. Step 5: Solve for x
    x = 162,354,176,394.17/535,019.31
  6. Step 6: Final answer
    x = 303,454.80

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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.