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Finding the Fourth Proportional to 580,509.37, 870,698.04 and 201,359.98

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Solution

The fourth proportional to 580,509.37, 870,698.04 and 201,359.98 is: 302,017.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,509.37 : 870,698.04 = 201,359.98 : x
  2. Step 2: Convert to fraction form
    580,509.37/870,698.04 = 201,359.98/x
  3. Step 3: Cross multiply
    580,509.37x = 870,698.04 × 201,359.98
  4. Step 4: Simplify right side
    580,509.37x = 175,323,739,920.44
  5. Step 5: Solve for x
    x = 175,323,739,920.44/580,509.37
  6. Step 6: Final answer
    x = 302,017.07

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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.