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Finding the Fourth Proportional to 468,411.08, 702,113.40 and 202,296.92

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Solution

The fourth proportional to 468,411.08, 702,113.40 and 202,296.92 is: 303,228.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,411.08 : 702,113.40 = 202,296.92 : x
  2. Step 2: Convert to fraction form
    468,411.08/702,113.40 = 202,296.92/x
  3. Step 3: Cross multiply
    468,411.08x = 702,113.40 × 202,296.92
  4. Step 4: Simplify right side
    468,411.08x = 142,035,374,800.16
  5. Step 5: Solve for x
    x = 142,035,374,800.16/468,411.08
  6. Step 6: Final answer
    x = 303,228.05

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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.