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Finding the Fourth Proportional to 541,486.40, 811,538.40 and 416,206.40

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Solution

The fourth proportional to 541,486.40, 811,538.40 and 416,206.40 is: 623,778.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,486.40 : 811,538.40 = 416,206.40 : x
  2. Step 2: Convert to fraction form
    541,486.40/811,538.40 = 416,206.40/x
  3. Step 3: Cross multiply
    541,486.40x = 811,538.40 × 416,206.40
  4. Step 4: Simplify right side
    541,486.40x = 337,767,475,925.76
  5. Step 5: Solve for x
    x = 337,767,475,925.76/541,486.40
  6. Step 6: Final answer
    x = 623,778.32

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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.