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Finding the Fourth Proportional to 523,559.92, 785,145.90 and 186,511

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Solution

The fourth proportional to 523,559.92, 785,145.90 and 186,511 is: 279,697.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,559.92 : 785,145.90 = 186,511 : x
  2. Step 2: Convert to fraction form
    523,559.92/785,145.90 = 186,511/x
  3. Step 3: Cross multiply
    523,559.92x = 785,145.90 × 186,511
  4. Step 4: Simplify right side
    523,559.92x = 146,438,346,954.90
  5. Step 5: Solve for x
    x = 146,438,346,954.90/523,559.92
  6. Step 6: Final answer
    x = 279,697.40

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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.