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Finding the Fourth Proportional to 504,962.51, 697,100.78 and 314,037.41

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Solution

The fourth proportional to 504,962.51, 697,100.78 and 314,037.41 is: 433,528.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,962.51 : 697,100.78 = 314,037.41 : x
  2. Step 2: Convert to fraction form
    504,962.51/697,100.78 = 314,037.41/x
  3. Step 3: Cross multiply
    504,962.51x = 697,100.78 × 314,037.41
  4. Step 4: Simplify right side
    504,962.51x = 218,915,720,759.77
  5. Step 5: Solve for x
    x = 218,915,720,759.77/504,962.51
  6. Step 6: Final answer
    x = 433,528.67

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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.