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Finding the Fourth Proportional to 549,432.40, 824,294.40 and 194,409.40

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Solution

The fourth proportional to 549,432.40, 824,294.40 and 194,409.40 is: 291,665.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,432.40 : 824,294.40 = 194,409.40 : x
  2. Step 2: Convert to fraction form
    549,432.40/824,294.40 = 194,409.40/x
  3. Step 3: Cross multiply
    549,432.40x = 824,294.40 × 194,409.40
  4. Step 4: Simplify right side
    549,432.40x = 160,250,579,727.36
  5. Step 5: Solve for x
    x = 160,250,579,727.36/549,432.40
  6. Step 6: Final answer
    x = 291,665.69

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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.