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Finding the Fourth Proportional to 560,582.74, 840,373.98 and 205,513.84

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Solution

The fourth proportional to 560,582.74, 840,373.98 and 205,513.84 is: 308,087.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,582.74 : 840,373.98 = 205,513.84 : x
  2. Step 2: Convert to fraction form
    560,582.74/840,373.98 = 205,513.84/x
  3. Step 3: Cross multiply
    560,582.74x = 840,373.98 × 205,513.84
  4. Step 4: Simplify right side
    560,582.74x = 172,708,483,665.88
  5. Step 5: Solve for x
    x = 172,708,483,665.88/560,582.74
  6. Step 6: Final answer
    x = 308,087.41

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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.