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Finding the Fourth Proportional to 516,116.16, 772,952.64 and 262,774.08

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Solution

The fourth proportional to 516,116.16, 772,952.64 and 262,774.08 is: 393,539.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,116.16 : 772,952.64 = 262,774.08 : x
  2. Step 2: Convert to fraction form
    516,116.16/772,952.64 = 262,774.08/x
  3. Step 3: Cross multiply
    516,116.16x = 772,952.64 × 262,774.08
  4. Step 4: Simplify right side
    516,116.16x = 203,111,918,859.57
  5. Step 5: Solve for x
    x = 203,111,918,859.57/516,116.16
  6. Step 6: Final answer
    x = 393,539.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.