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Finding the Fourth Proportional to 346,714, 519,798.43 and 232,977.25

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Solution

The fourth proportional to 346,714, 519,798.43 and 232,977.25 is: 349,282.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,714 : 519,798.43 = 232,977.25 : x
  2. Step 2: Convert to fraction form
    346,714/519,798.43 = 232,977.25/x
  3. Step 3: Cross multiply
    346,714x = 519,798.43 × 232,977.25
  4. Step 4: Simplify right side
    346,714x = 121,101,208,775.72
  5. Step 5: Solve for x
    x = 121,101,208,775.72/346,714
  6. Step 6: Final answer
    x = 349,282.72

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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.