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Finding the Fourth Proportional to 287,225.80, 430,838.70 and 162,809.80

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Solution

The fourth proportional to 287,225.80, 430,838.70 and 162,809.80 is: 244,214.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,225.80 : 430,838.70 = 162,809.80 : x
  2. Step 2: Convert to fraction form
    287,225.80/430,838.70 = 162,809.80/x
  3. Step 3: Cross multiply
    287,225.80x = 430,838.70 × 162,809.80
  4. Step 4: Simplify right side
    287,225.80x = 70,144,762,579.26
  5. Step 5: Solve for x
    x = 70,144,762,579.26/287,225.80
  6. Step 6: Final answer
    x = 244,214.70

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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.