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Finding the Fourth Proportional to 524,646.02, 785,339.98 and 284,162.65

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Solution

The fourth proportional to 524,646.02, 785,339.98 and 284,162.65 is: 425,361.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,646.02 : 785,339.98 = 284,162.65 : x
  2. Step 2: Convert to fraction form
    524,646.02/785,339.98 = 284,162.65/x
  3. Step 3: Cross multiply
    524,646.02x = 785,339.98 × 284,162.65
  4. Step 4: Simplify right side
    524,646.02x = 223,164,289,867.75
  5. Step 5: Solve for x
    x = 223,164,289,867.75/524,646.02
  6. Step 6: Final answer
    x = 425,361.64

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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.