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Finding the Fourth Proportional to 704,294.98, 971,900.85 and 417,643.54

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Solution

The fourth proportional to 704,294.98, 971,900.85 and 417,643.54 is: 576,332.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,294.98 : 971,900.85 = 417,643.54 : x
  2. Step 2: Convert to fraction form
    704,294.98/971,900.85 = 417,643.54/x
  3. Step 3: Cross multiply
    704,294.98x = 971,900.85 × 417,643.54
  4. Step 4: Simplify right side
    704,294.98x = 405,908,111,523.01
  5. Step 5: Solve for x
    x = 405,908,111,523.01/704,294.98
  6. Step 6: Final answer
    x = 576,332.54

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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.