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Finding the Fourth Proportional to 549,685.76, 824,334.16 and 261,463.52

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Solution

The fourth proportional to 549,685.76, 824,334.16 and 261,463.52 is: 392,102.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,685.76 : 824,334.16 = 261,463.52 : x
  2. Step 2: Convert to fraction form
    549,685.76/824,334.16 = 261,463.52/x
  3. Step 3: Cross multiply
    549,685.76x = 824,334.16 × 261,463.52
  4. Step 4: Simplify right side
    549,685.76x = 215,533,311,129.84
  5. Step 5: Solve for x
    x = 215,533,311,129.84/549,685.76
  6. Step 6: Final answer
    x = 392,102.77

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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.