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Finding the Fourth Proportional to 516,967.12, 713,431.16 and 313,056.08

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Solution

The fourth proportional to 516,967.12, 713,431.16 and 313,056.08 is: 432,027.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,967.12 : 713,431.16 = 313,056.08 : x
  2. Step 2: Convert to fraction form
    516,967.12/713,431.16 = 313,056.08/x
  3. Step 3: Cross multiply
    516,967.12x = 713,431.16 × 313,056.08
  4. Step 4: Simplify right side
    516,967.12x = 223,343,962,299.45
  5. Step 5: Solve for x
    x = 223,343,962,299.45/516,967.12
  6. Step 6: Final answer
    x = 432,027.40

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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.