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Finding the Fourth Proportional to 406,134, 560,387.12 and 262,874.16

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Solution

The fourth proportional to 406,134, 560,387.12 and 262,874.16 is: 362,715.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,134 : 560,387.12 = 262,874.16 : x
  2. Step 2: Convert to fraction form
    406,134/560,387.12 = 262,874.16/x
  3. Step 3: Cross multiply
    406,134x = 560,387.12 × 262,874.16
  4. Step 4: Simplify right side
    406,134x = 147,311,293,444.82
  5. Step 5: Solve for x
    x = 147,311,293,444.82/406,134
  6. Step 6: Final answer
    x = 362,715.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.