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Finding the Fourth Proportional to 497,372.16, 686,168 and 346,556.64

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Solution

The fourth proportional to 497,372.16, 686,168 and 346,556.64 is: 478,104.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,372.16 : 686,168 = 346,556.64 : x
  2. Step 2: Convert to fraction form
    497,372.16/686,168 = 346,556.64/x
  3. Step 3: Cross multiply
    497,372.16x = 686,168 × 346,556.64
  4. Step 4: Simplify right side
    497,372.16x = 237,796,076,555.52
  5. Step 5: Solve for x
    x = 237,796,076,555.52/497,372.16
  6. Step 6: Final answer
    x = 478,104.92

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