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Finding the Fourth Proportional to 549,744.40, 824,851.32 and 234,349.84

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Solution

The fourth proportional to 549,744.40, 824,851.32 and 234,349.84 is: 351,624.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,744.40 : 824,851.32 = 234,349.84 : x
  2. Step 2: Convert to fraction form
    549,744.40/824,851.32 = 234,349.84/x
  3. Step 3: Cross multiply
    549,744.40x = 824,851.32 × 234,349.84
  4. Step 4: Simplify right side
    549,744.40x = 193,303,774,865.79
  5. Step 5: Solve for x
    x = 193,303,774,865.79/549,744.40
  6. Step 6: Final answer
    x = 351,624.82

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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.