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Finding the Fourth Proportional to 519,048.96, 716,093.64 and 349,013.76

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Solution

The fourth proportional to 519,048.96, 716,093.64 and 349,013.76 is: 481,508.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,048.96 : 716,093.64 = 349,013.76 : x
  2. Step 2: Convert to fraction form
    519,048.96/716,093.64 = 349,013.76/x
  3. Step 3: Cross multiply
    519,048.96x = 716,093.64 × 349,013.76
  4. Step 4: Simplify right side
    519,048.96x = 249,926,533,808.49
  5. Step 5: Solve for x
    x = 249,926,533,808.49/519,048.96
  6. Step 6: Final answer
    x = 481,508.59

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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.