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Finding the Fourth Proportional to 549,565.74, 824,364.78 and 469,096.32

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Solution

The fourth proportional to 549,565.74, 824,364.78 and 469,096.32 is: 703,658.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,565.74 : 824,364.78 = 469,096.32 : x
  2. Step 2: Convert to fraction form
    549,565.74/824,364.78 = 469,096.32/x
  3. Step 3: Cross multiply
    549,565.74x = 824,364.78 × 469,096.32
  4. Step 4: Simplify right side
    549,565.74x = 386,706,485,967.87
  5. Step 5: Solve for x
    x = 386,706,485,967.87/549,565.74
  6. Step 6: Final answer
    x = 703,658.28

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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.