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Finding the Fourth Proportional to 549,048.71, 757,694.96 and 316,347.05

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Solution

The fourth proportional to 549,048.71, 757,694.96 and 316,347.05 is: 436,563.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,048.71 : 757,694.96 = 316,347.05 : x
  2. Step 2: Convert to fraction form
    549,048.71/757,694.96 = 316,347.05/x
  3. Step 3: Cross multiply
    549,048.71x = 757,694.96 × 316,347.05
  4. Step 4: Simplify right side
    549,048.71x = 239,694,565,395.87
  5. Step 5: Solve for x
    x = 239,694,565,395.87/549,048.71
  6. Step 6: Final answer
    x = 436,563.39

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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.