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Finding the Fourth Proportional to 589,866.63, 880,493.70 and 506,164.68

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Solution

The fourth proportional to 589,866.63, 880,493.70 and 506,164.68 is: 755,551.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,866.63 : 880,493.70 = 506,164.68 : x
  2. Step 2: Convert to fraction form
    589,866.63/880,493.70 = 506,164.68/x
  3. Step 3: Cross multiply
    589,866.63x = 880,493.70 × 506,164.68
  4. Step 4: Simplify right side
    589,866.63x = 445,674,811,902.52
  5. Step 5: Solve for x
    x = 445,674,811,902.52/589,866.63
  6. Step 6: Final answer
    x = 755,551.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.