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Finding the Fourth Proportional to 565,275.24, 780,043.14 and 323,559.72

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Solution

The fourth proportional to 565,275.24, 780,043.14 and 323,559.72 is: 446,491.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,275.24 : 780,043.14 = 323,559.72 : x
  2. Step 2: Convert to fraction form
    565,275.24/780,043.14 = 323,559.72/x
  3. Step 3: Cross multiply
    565,275.24x = 780,043.14 × 323,559.72
  4. Step 4: Simplify right side
    565,275.24x = 252,390,539,966.32
  5. Step 5: Solve for x
    x = 252,390,539,966.32/565,275.24
  6. Step 6: Final answer
    x = 446,491.41

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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.