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Finding the Fourth Proportional to 586,056.80, 879,085.20 and 142,824.80

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Solution

The fourth proportional to 586,056.80, 879,085.20 and 142,824.80 is: 214,237.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,056.80 : 879,085.20 = 142,824.80 : x
  2. Step 2: Convert to fraction form
    586,056.80/879,085.20 = 142,824.80/x
  3. Step 3: Cross multiply
    586,056.80x = 879,085.20 × 142,824.80
  4. Step 4: Simplify right side
    586,056.80x = 125,555,167,872.96
  5. Step 5: Solve for x
    x = 125,555,167,872.96/586,056.80
  6. Step 6: Final answer
    x = 214,237.20

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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.