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Finding the Fourth Proportional to 551,613.48, 827,467.72 and 152,254.32

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Solution

The fourth proportional to 551,613.48, 827,467.72 and 152,254.32 is: 228,394.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,613.48 : 827,467.72 = 152,254.32 : x
  2. Step 2: Convert to fraction form
    551,613.48/827,467.72 = 152,254.32/x
  3. Step 3: Cross multiply
    551,613.48x = 827,467.72 × 152,254.32
  4. Step 4: Simplify right side
    551,613.48x = 125,985,535,030.55
  5. Step 5: Solve for x
    x = 125,985,535,030.55/551,613.48
  6. Step 6: Final answer
    x = 228,394.59

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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.