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Finding the Fourth Proportional to 541,465.16, 811,309.98 and 383,409.86

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Solution

The fourth proportional to 541,465.16, 811,309.98 and 383,409.86 is: 574,486.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,465.16 : 811,309.98 = 383,409.86 : x
  2. Step 2: Convert to fraction form
    541,465.16/811,309.98 = 383,409.86/x
  3. Step 3: Cross multiply
    541,465.16x = 811,309.98 × 383,409.86
  4. Step 4: Simplify right side
    541,465.16x = 311,064,245,848.40
  5. Step 5: Solve for x
    x = 311,064,245,848.40/541,465.16
  6. Step 6: Final answer
    x = 574,486.17

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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.