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Finding the Fourth Proportional to 565,538.58, 780,325.41 and 336,176.95

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Solution

The fourth proportional to 565,538.58, 780,325.41 and 336,176.95 is: 463,854.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,538.58 : 780,325.41 = 336,176.95 : x
  2. Step 2: Convert to fraction form
    565,538.58/780,325.41 = 336,176.95/x
  3. Step 3: Cross multiply
    565,538.58x = 780,325.41 × 336,176.95
  4. Step 4: Simplify right side
    565,538.58x = 262,327,416,341.30
  5. Step 5: Solve for x
    x = 262,327,416,341.30/565,538.58
  6. Step 6: Final answer
    x = 463,854.15

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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.