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Finding the Fourth Proportional to 524,828.80, 786,076.80 and 406,115.20

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Solution

The fourth proportional to 524,828.80, 786,076.80 and 406,115.20 is: 608,270.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,828.80 : 786,076.80 = 406,115.20 : x
  2. Step 2: Convert to fraction form
    524,828.80/786,076.80 = 406,115.20/x
  3. Step 3: Cross multiply
    524,828.80x = 786,076.80 × 406,115.20
  4. Step 4: Simplify right side
    524,828.80x = 319,237,736,847.36
  5. Step 5: Solve for x
    x = 319,237,736,847.36/524,828.80
  6. Step 6: Final answer
    x = 608,270.23

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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.