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Finding the Fourth Proportional to 535,094.48, 802,002.02 and 407,745.48

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Solution

The fourth proportional to 535,094.48, 802,002.02 and 407,745.48 is: 611,130.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,094.48 : 802,002.02 = 407,745.48 : x
  2. Step 2: Convert to fraction form
    535,094.48/802,002.02 = 407,745.48/x
  3. Step 3: Cross multiply
    535,094.48x = 802,002.02 × 407,745.48
  4. Step 4: Simplify right side
    535,094.48x = 327,012,698,605.87
  5. Step 5: Solve for x
    x = 327,012,698,605.87/535,094.48
  6. Step 6: Final answer
    x = 611,130.76

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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.