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Finding the Fourth Proportional to 469,781.14, 648,026.85 and 299,823.70

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Solution

The fourth proportional to 469,781.14, 648,026.85 and 299,823.70 is: 413,583.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,781.14 : 648,026.85 = 299,823.70 : x
  2. Step 2: Convert to fraction form
    469,781.14/648,026.85 = 299,823.70/x
  3. Step 3: Cross multiply
    469,781.14x = 648,026.85 × 299,823.70
  4. Step 4: Simplify right side
    469,781.14x = 194,293,807,866.35
  5. Step 5: Solve for x
    x = 194,293,807,866.35/469,781.14
  6. Step 6: Final answer
    x = 413,583.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.