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Finding the Fourth Proportional to 517,322.10, 713,966.64 and 313,367.04

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Solution

The fourth proportional to 517,322.10, 713,966.64 and 313,367.04 is: 432,484.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,322.10 : 713,966.64 = 313,367.04 : x
  2. Step 2: Convert to fraction form
    517,322.10/713,966.64 = 313,367.04/x
  3. Step 3: Cross multiply
    517,322.10x = 713,966.64 × 313,367.04
  4. Step 4: Simplify right side
    517,322.10x = 223,733,612,635.55
  5. Step 5: Solve for x
    x = 223,733,612,635.55/517,322.10
  6. Step 6: Final answer
    x = 432,484.16

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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.