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Finding the Fourth Proportional to 616,701.18, 925,037.37 and 284,277.18

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Solution

The fourth proportional to 616,701.18, 925,037.37 and 284,277.18 is: 426,409.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,701.18 : 925,037.37 = 284,277.18 : x
  2. Step 2: Convert to fraction form
    616,701.18/925,037.37 = 284,277.18/x
  3. Step 3: Cross multiply
    616,701.18x = 925,037.37 × 284,277.18
  4. Step 4: Simplify right side
    616,701.18x = 262,967,014,938.22
  5. Step 5: Solve for x
    x = 262,967,014,938.22/616,701.18
  6. Step 6: Final answer
    x = 426,409.13

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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.