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Finding the Fourth Proportional to 549,735.80, 824,303.93 and 165,428.66

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Solution

The fourth proportional to 549,735.80, 824,303.93 and 165,428.66 is: 248,052.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,735.80 : 824,303.93 = 165,428.66 : x
  2. Step 2: Convert to fraction form
    549,735.80/824,303.93 = 165,428.66/x
  3. Step 3: Cross multiply
    549,735.80x = 824,303.93 × 165,428.66
  4. Step 4: Simplify right side
    549,735.80x = 136,363,495,806.25
  5. Step 5: Solve for x
    x = 136,363,495,806.25/549,735.80
  6. Step 6: Final answer
    x = 248,052.79

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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.