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Finding the Fourth Proportional to 346,230, 519,345 and 83,574

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Solution

The fourth proportional to 346,230, 519,345 and 83,574 is: 125,361

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,230 : 519,345 = 83,574 : x
  2. Step 2: Convert to fraction form
    346,230/519,345 = 83,574/x
  3. Step 3: Cross multiply
    346,230x = 519,345 × 83,574
  4. Step 4: Simplify right side
    346,230x = 43,403,739,030
  5. Step 5: Solve for x
    x = 43,403,739,030/346,230
  6. Step 6: Final answer
    x = 125,361

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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.