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Finding the Fourth Proportional to 538,005.70, 804,934.95 and 351,381.70

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Solution

The fourth proportional to 538,005.70, 804,934.95 and 351,381.70 is: 525,718.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,005.70 : 804,934.95 = 351,381.70 : x
  2. Step 2: Convert to fraction form
    538,005.70/804,934.95 = 351,381.70/x
  3. Step 3: Cross multiply
    538,005.70x = 804,934.95 × 351,381.70
  4. Step 4: Simplify right side
    538,005.70x = 282,839,411,120.42
  5. Step 5: Solve for x
    x = 282,839,411,120.42/538,005.70
  6. Step 6: Final answer
    x = 525,718.24

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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.