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Finding the Fourth Proportional to 414,746.64, 572,350.49 and 242,697.68

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Solution

The fourth proportional to 414,746.64, 572,350.49 and 242,697.68 is: 334,922.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,746.64 : 572,350.49 = 242,697.68 : x
  2. Step 2: Convert to fraction form
    414,746.64/572,350.49 = 242,697.68/x
  3. Step 3: Cross multiply
    414,746.64x = 572,350.49 × 242,697.68
  4. Step 4: Simplify right side
    414,746.64x = 138,908,136,069.86
  5. Step 5: Solve for x
    x = 138,908,136,069.86/414,746.64
  6. Step 6: Final answer
    x = 334,922.87

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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.