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Finding the Fourth Proportional to 524,074.81, 785,878.30 and 365,171.69

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Solution

The fourth proportional to 524,074.81, 785,878.30 and 365,171.69 is: 547,594.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,074.81 : 785,878.30 = 365,171.69 : x
  2. Step 2: Convert to fraction form
    524,074.81/785,878.30 = 365,171.69/x
  3. Step 3: Cross multiply
    524,074.81x = 785,878.30 × 365,171.69
  4. Step 4: Simplify right side
    524,074.81x = 286,980,509,366.49
  5. Step 5: Solve for x
    x = 286,980,509,366.49/524,074.81
  6. Step 6: Final answer
    x = 547,594.55

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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.