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Finding the Fourth Proportional to 541,703.10, 812,554.65 and 407,858.70

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Solution

The fourth proportional to 541,703.10, 812,554.65 and 407,858.70 is: 611,788.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,703.10 : 812,554.65 = 407,858.70 : x
  2. Step 2: Convert to fraction form
    541,703.10/812,554.65 = 407,858.70/x
  3. Step 3: Cross multiply
    541,703.10x = 812,554.65 × 407,858.70
  4. Step 4: Simplify right side
    541,703.10x = 331,407,483,227.96
  5. Step 5: Solve for x
    x = 331,407,483,227.96/541,703.10
  6. Step 6: Final answer
    x = 611,788.05

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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.