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Finding the Fourth Proportional to 503,898.30, 695,369.21 and 274,458.24

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Solution

The fourth proportional to 503,898.30, 695,369.21 and 274,458.24 is: 378,746.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,898.30 : 695,369.21 = 274,458.24 : x
  2. Step 2: Convert to fraction form
    503,898.30/695,369.21 = 274,458.24/x
  3. Step 3: Cross multiply
    503,898.30x = 695,369.21 × 274,458.24
  4. Step 4: Simplify right side
    503,898.30x = 190,849,808,154.50
  5. Step 5: Solve for x
    x = 190,849,808,154.50/503,898.30
  6. Step 6: Final answer
    x = 378,746.68

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Why These Related Problems?

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