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Finding the Fourth Proportional to 461,938.40, 692,389.20 and 262,354.40

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Solution

The fourth proportional to 461,938.40, 692,389.20 and 262,354.40 is: 393,237.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,938.40 : 692,389.20 = 262,354.40 : x
  2. Step 2: Convert to fraction form
    461,938.40/692,389.20 = 262,354.40/x
  3. Step 3: Cross multiply
    461,938.40x = 692,389.20 × 262,354.40
  4. Step 4: Simplify right side
    461,938.40x = 181,651,353,132.48
  5. Step 5: Solve for x
    x = 181,651,353,132.48/461,938.40
  6. Step 6: Final answer
    x = 393,237.18

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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.