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Finding the Fourth Proportional to 306,513.18, 459,806.64 and 101,354.76

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Solution

The fourth proportional to 306,513.18, 459,806.64 and 101,354.76 is: 152,044.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,513.18 : 459,806.64 = 101,354.76 : x
  2. Step 2: Convert to fraction form
    306,513.18/459,806.64 = 101,354.76/x
  3. Step 3: Cross multiply
    306,513.18x = 459,806.64 × 101,354.76
  4. Step 4: Simplify right side
    306,513.18x = 46,603,591,643.61
  5. Step 5: Solve for x
    x = 46,603,591,643.61/306,513.18
  6. Step 6: Final answer
    x = 152,044.33

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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.