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Finding the Fourth Proportional to 503,060.49, 694,359.95 and 296,509.28

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Solution

The fourth proportional to 503,060.49, 694,359.95 and 296,509.28 is: 409,263.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,060.49 : 694,359.95 = 296,509.28 : x
  2. Step 2: Convert to fraction form
    503,060.49/694,359.95 = 296,509.28/x
  3. Step 3: Cross multiply
    503,060.49x = 694,359.95 × 296,509.28
  4. Step 4: Simplify right side
    503,060.49x = 205,884,163,880.99
  5. Step 5: Solve for x
    x = 205,884,163,880.99/503,060.49
  6. Step 6: Final answer
    x = 409,263.24

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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.