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Finding the Fourth Proportional to 382,544, 573,884.40 and 157,779.44

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Solution

The fourth proportional to 382,544, 573,884.40 and 157,779.44 is: 236,697.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,544 : 573,884.40 = 157,779.44 : x
  2. Step 2: Convert to fraction form
    382,544/573,884.40 = 157,779.44/x
  3. Step 3: Cross multiply
    382,544x = 573,884.40 × 157,779.44
  4. Step 4: Simplify right side
    382,544x = 90,547,159,256.74
  5. Step 5: Solve for x
    x = 90,547,159,256.74/382,544
  6. Step 6: Final answer
    x = 236,697.37

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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.