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Finding the Fourth Proportional to 580,193.82, 870,093.65 and 201,026.06

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Solution

The fourth proportional to 580,193.82, 870,093.65 and 201,026.06 is: 301,470.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,193.82 : 870,093.65 = 201,026.06 : x
  2. Step 2: Convert to fraction form
    580,193.82/870,093.65 = 201,026.06/x
  3. Step 3: Cross multiply
    580,193.82x = 870,093.65 × 201,026.06
  4. Step 4: Simplify right side
    580,193.82x = 174,911,492,934.92
  5. Step 5: Solve for x
    x = 174,911,492,934.92/580,193.82
  6. Step 6: Final answer
    x = 301,470.80

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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.