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Finding the Fourth Proportional to 405,702.80, 559,681.32 and 262,508.97

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Solution

The fourth proportional to 405,702.80, 559,681.32 and 262,508.97 is: 362,140.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,702.80 : 559,681.32 = 262,508.97 : x
  2. Step 2: Convert to fraction form
    405,702.80/559,681.32 = 262,508.97/x
  3. Step 3: Cross multiply
    405,702.80x = 559,681.32 × 262,508.97
  4. Step 4: Simplify right side
    405,702.80x = 146,921,366,841.44
  5. Step 5: Solve for x
    x = 146,921,366,841.44/405,702.80
  6. Step 6: Final answer
    x = 362,140.38

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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.