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Finding the Fourth Proportional to 549,102.61, 824,186.54 and 264,993.11

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Solution

The fourth proportional to 549,102.61, 824,186.54 and 264,993.11 is: 397,746.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,102.61 : 824,186.54 = 264,993.11 : x
  2. Step 2: Convert to fraction form
    549,102.61/824,186.54 = 264,993.11/x
  3. Step 3: Cross multiply
    549,102.61x = 824,186.54 × 264,993.11
  4. Step 4: Simplify right side
    549,102.61x = 218,403,754,454.74
  5. Step 5: Solve for x
    x = 218,403,754,454.74/549,102.61
  6. Step 6: Final answer
    x = 397,746.71

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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.