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Finding the Fourth Proportional to 468,141.80, 702,212.70 and 288,370.40

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Solution

The fourth proportional to 468,141.80, 702,212.70 and 288,370.40 is: 432,555.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,141.80 : 702,212.70 = 288,370.40 : x
  2. Step 2: Convert to fraction form
    468,141.80/702,212.70 = 288,370.40/x
  3. Step 3: Cross multiply
    468,141.80x = 702,212.70 × 288,370.40
  4. Step 4: Simplify right side
    468,141.80x = 202,497,357,184.08
  5. Step 5: Solve for x
    x = 202,497,357,184.08/468,141.80
  6. Step 6: Final answer
    x = 432,555.60

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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.