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Finding the Fourth Proportional to 406,117, 560,363.70 and 262,857.16

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Solution

The fourth proportional to 406,117, 560,363.70 and 262,857.16 is: 362,692.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,117 : 560,363.70 = 262,857.16 : x
  2. Step 2: Convert to fraction form
    406,117/560,363.70 = 262,857.16/x
  3. Step 3: Cross multiply
    406,117x = 560,363.70 × 262,857.16
  4. Step 4: Simplify right side
    406,117x = 147,295,610,749.09
  5. Step 5: Solve for x
    x = 147,295,610,749.09/406,117
  6. Step 6: Final answer
    x = 362,692.55

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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.