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Finding the Fourth Proportional to 677,609.04, 935,309.86 and 435,891.78

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Solution

The fourth proportional to 677,609.04, 935,309.86 and 435,891.78 is: 601,665.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,609.04 : 935,309.86 = 435,891.78 : x
  2. Step 2: Convert to fraction form
    677,609.04/935,309.86 = 435,891.78/x
  3. Step 3: Cross multiply
    677,609.04x = 935,309.86 × 435,891.78
  4. Step 4: Simplify right side
    677,609.04x = 407,693,879,726.95
  5. Step 5: Solve for x
    x = 407,693,879,726.95/677,609.04
  6. Step 6: Final answer
    x = 601,665.35

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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.