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Finding the Fourth Proportional to 406,116, 560,362.32 and 262,856.16

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Solution

The fourth proportional to 406,116, 560,362.32 and 262,856.16 is: 362,691.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,116 : 560,362.32 = 262,856.16 : x
  2. Step 2: Convert to fraction form
    406,116/560,362.32 = 262,856.16/x
  3. Step 3: Cross multiply
    406,116x = 560,362.32 × 262,856.16
  4. Step 4: Simplify right side
    406,116x = 147,294,687,643.89
  5. Step 5: Solve for x
    x = 147,294,687,643.89/406,116
  6. Step 6: Final answer
    x = 362,691.17

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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.