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Finding the Fourth Proportional to 549,252.64, 824,410.88 and 265,142.64

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Solution

The fourth proportional to 549,252.64, 824,410.88 and 265,142.64 is: 397,970.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,252.64 : 824,410.88 = 265,142.64 : x
  2. Step 2: Convert to fraction form
    549,252.64/824,410.88 = 265,142.64/x
  3. Step 3: Cross multiply
    549,252.64x = 824,410.88 × 265,142.64
  4. Step 4: Simplify right side
    549,252.64x = 218,586,477,167.92
  5. Step 5: Solve for x
    x = 218,586,477,167.92/549,252.64
  6. Step 6: Final answer
    x = 397,970.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.