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Finding the Fourth Proportional to 704,293.98, 971,899.47 and 417,642.54

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Solution

The fourth proportional to 704,293.98, 971,899.47 and 417,642.54 is: 576,331.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,293.98 : 971,899.47 = 417,642.54 : x
  2. Step 2: Convert to fraction form
    704,293.98/971,899.47 = 417,642.54/x
  3. Step 3: Cross multiply
    704,293.98x = 971,899.47 × 417,642.54
  4. Step 4: Simplify right side
    704,293.98x = 405,906,563,275.45
  5. Step 5: Solve for x
    x = 405,906,563,275.45/704,293.98
  6. Step 6: Final answer
    x = 576,331.16

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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.