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Finding the Fourth Proportional to 343,241.40, 514,862.10 and 291,401.40

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Solution

The fourth proportional to 343,241.40, 514,862.10 and 291,401.40 is: 437,102.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,241.40 : 514,862.10 = 291,401.40 : x
  2. Step 2: Convert to fraction form
    343,241.40/514,862.10 = 291,401.40/x
  3. Step 3: Cross multiply
    343,241.40x = 514,862.10 × 291,401.40
  4. Step 4: Simplify right side
    343,241.40x = 150,031,536,746.94
  5. Step 5: Solve for x
    x = 150,031,536,746.94/343,241.40
  6. Step 6: Final answer
    x = 437,102.10

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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.