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Finding the Fourth Proportional to 704,950.62, 972,853.62 and 414,509.73

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Solution

The fourth proportional to 704,950.62, 972,853.62 and 414,509.73 is: 572,036.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,950.62 : 972,853.62 = 414,509.73 : x
  2. Step 2: Convert to fraction form
    704,950.62/972,853.62 = 414,509.73/x
  3. Step 3: Cross multiply
    704,950.62x = 972,853.62 × 414,509.73
  4. Step 4: Simplify right side
    704,950.62x = 403,257,291,355.72
  5. Step 5: Solve for x
    x = 403,257,291,355.72/704,950.62
  6. Step 6: Final answer
    x = 572,036.22

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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.