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Finding the Fourth Proportional to 406,152, 560,412 and 262,892.16

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Solution

The fourth proportional to 406,152, 560,412 and 262,892.16 is: 362,740.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,152 : 560,412 = 262,892.16 : x
  2. Step 2: Convert to fraction form
    406,152/560,412 = 262,892.16/x
  3. Step 3: Cross multiply
    406,152x = 560,412 × 262,892.16
  4. Step 4: Simplify right side
    406,152x = 147,327,921,169.92
  5. Step 5: Solve for x
    x = 147,327,921,169.92/406,152
  6. Step 6: Final answer
    x = 362,740.85

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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.