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Finding the Fourth Proportional to 504,711.06, 696,543.13 and 289,892.58

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Solution

The fourth proportional to 504,711.06, 696,543.13 and 289,892.58 is: 400,075.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,711.06 : 696,543.13 = 289,892.58 : x
  2. Step 2: Convert to fraction form
    504,711.06/696,543.13 = 289,892.58/x
  3. Step 3: Cross multiply
    504,711.06x = 696,543.13 × 289,892.58
  4. Step 4: Simplify right side
    504,711.06x = 201,922,685,036.98
  5. Step 5: Solve for x
    x = 201,922,685,036.98/504,711.06
  6. Step 6: Final answer
    x = 400,075.81

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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.