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Finding the Fourth Proportional to 418,415.12, 577,738.72 and 257,345.04

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Solution

The fourth proportional to 418,415.12, 577,738.72 and 257,345.04 is: 355,336.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,415.12 : 577,738.72 = 257,345.04 : x
  2. Step 2: Convert to fraction form
    418,415.12/577,738.72 = 257,345.04/x
  3. Step 3: Cross multiply
    418,415.12x = 577,738.72 × 257,345.04
  4. Step 4: Simplify right side
    418,415.12x = 148,678,194,007.95
  5. Step 5: Solve for x
    x = 148,678,194,007.95/418,415.12
  6. Step 6: Final answer
    x = 355,336.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.