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Finding the Fourth Proportional to 542,167.40, 812,266.95 and 441,784.10

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Solution

The fourth proportional to 542,167.40, 812,266.95 and 441,784.10 is: 661,874.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,167.40 : 812,266.95 = 441,784.10 : x
  2. Step 2: Convert to fraction form
    542,167.40/812,266.95 = 441,784.10/x
  3. Step 3: Cross multiply
    542,167.40x = 812,266.95 × 441,784.10
  4. Step 4: Simplify right side
    542,167.40x = 358,846,623,465.50
  5. Step 5: Solve for x
    x = 358,846,623,465.50/542,167.40
  6. Step 6: Final answer
    x = 661,874.22

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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.