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Finding the Fourth Proportional to 549,772.92, 824,675.58 and 208,141.74

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Solution

The fourth proportional to 549,772.92, 824,675.58 and 208,141.74 is: 312,218.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,772.92 : 824,675.58 = 208,141.74 : x
  2. Step 2: Convert to fraction form
    549,772.92/824,675.58 = 208,141.74/x
  3. Step 3: Cross multiply
    549,772.92x = 824,675.58 × 208,141.74
  4. Step 4: Simplify right side
    549,772.92x = 171,649,410,156.71
  5. Step 5: Solve for x
    x = 171,649,410,156.71/549,772.92
  6. Step 6: Final answer
    x = 312,218.74

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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.