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Finding the Fourth Proportional to 503,834.24, 695,287.68 and 277,478.40

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Solution

The fourth proportional to 503,834.24, 695,287.68 and 277,478.40 is: 382,918.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,834.24 : 695,287.68 = 277,478.40 : x
  2. Step 2: Convert to fraction form
    503,834.24/695,287.68 = 277,478.40/x
  3. Step 3: Cross multiply
    503,834.24x = 695,287.68 × 277,478.40
  4. Step 4: Simplify right side
    503,834.24x = 192,927,312,986.11
  5. Step 5: Solve for x
    x = 192,927,312,986.11/503,834.24
  6. Step 6: Final answer
    x = 382,918.23

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