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Finding the Fourth Proportional to 586,726.26, 809,615.23 and 328,567.32

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Solution

The fourth proportional to 586,726.26, 809,615.23 and 328,567.32 is: 453,385.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,726.26 : 809,615.23 = 328,567.32 : x
  2. Step 2: Convert to fraction form
    586,726.26/809,615.23 = 328,567.32/x
  3. Step 3: Cross multiply
    586,726.26x = 809,615.23 × 328,567.32
  4. Step 4: Simplify right side
    586,726.26x = 266,013,106,352.28
  5. Step 5: Solve for x
    x = 266,013,106,352.28/586,726.26
  6. Step 6: Final answer
    x = 453,385.38

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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.