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Finding the Fourth Proportional to 535,018.68, 802,294.72 and 202,361.40

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Solution

The fourth proportional to 535,018.68, 802,294.72 and 202,361.40 is: 303,453.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,018.68 : 802,294.72 = 202,361.40 : x
  2. Step 2: Convert to fraction form
    535,018.68/802,294.72 = 202,361.40/x
  3. Step 3: Cross multiply
    535,018.68x = 802,294.72 × 202,361.40
  4. Step 4: Simplify right side
    535,018.68x = 162,353,482,751.81
  5. Step 5: Solve for x
    x = 162,353,482,751.81/535,018.68
  6. Step 6: Final answer
    x = 303,453.86

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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.