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Finding the Fourth Proportional to 406,714.58, 561,280.53 and 245,538.15

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Solution

The fourth proportional to 406,714.58, 561,280.53 and 245,538.15 is: 338,851.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,714.58 : 561,280.53 = 245,538.15 : x
  2. Step 2: Convert to fraction form
    406,714.58/561,280.53 = 245,538.15/x
  3. Step 3: Cross multiply
    406,714.58x = 561,280.53 × 245,538.15
  4. Step 4: Simplify right side
    406,714.58x = 137,815,782,967.22
  5. Step 5: Solve for x
    x = 137,815,782,967.22/406,714.58
  6. Step 6: Final answer
    x = 338,851.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.