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Finding the Fourth Proportional to 346,479, 519,718.52 and 83,823

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Solution

The fourth proportional to 346,479, 519,718.52 and 83,823 is: 125,734.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,479 : 519,718.52 = 83,823 : x
  2. Step 2: Convert to fraction form
    346,479/519,718.52 = 83,823/x
  3. Step 3: Cross multiply
    346,479x = 519,718.52 × 83,823
  4. Step 4: Simplify right side
    346,479x = 43,564,365,501.96
  5. Step 5: Solve for x
    x = 43,564,365,501.96/346,479
  6. Step 6: Final answer
    x = 125,734.50

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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.