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Finding the Fourth Proportional to 549,838.40, 824,903.40 and 194,815.40

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Solution

The fourth proportional to 549,838.40, 824,903.40 and 194,815.40 is: 292,274.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,838.40 : 824,903.40 = 194,815.40 : x
  2. Step 2: Convert to fraction form
    549,838.40/824,903.40 = 194,815.40/x
  3. Step 3: Cross multiply
    549,838.40x = 824,903.40 × 194,815.40
  4. Step 4: Simplify right side
    549,838.40x = 160,703,885,832.36
  5. Step 5: Solve for x
    x = 160,703,885,832.36/549,838.40
  6. Step 6: Final answer
    x = 292,274.76

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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.