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Finding the Fourth Proportional to 541,945, 812,745.20 and 506,564.72

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Solution

The fourth proportional to 541,945, 812,745.20 and 506,564.72 is: 759,686.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,945 : 812,745.20 = 506,564.72 : x
  2. Step 2: Convert to fraction form
    541,945/812,745.20 = 506,564.72/x
  3. Step 3: Cross multiply
    541,945x = 812,745.20 × 506,564.72
  4. Step 4: Simplify right side
    541,945x = 411,708,044,669.34
  5. Step 5: Solve for x
    x = 411,708,044,669.34/541,945
  6. Step 6: Final answer
    x = 759,686.03

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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.