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Finding the Fourth Proportional to 519,769, 779,964.54 and 224,281

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Solution

The fourth proportional to 519,769, 779,964.54 and 224,281 is: 336,555.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,769 : 779,964.54 = 224,281 : x
  2. Step 2: Convert to fraction form
    519,769/779,964.54 = 224,281/x
  3. Step 3: Cross multiply
    519,769x = 779,964.54 × 224,281
  4. Step 4: Simplify right side
    519,769x = 174,931,226,995.74
  5. Step 5: Solve for x
    x = 174,931,226,995.74/519,769
  6. Step 6: Final answer
    x = 336,555.71

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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.