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Finding the Fourth Proportional to 306,302.66, 459,454.02 and 95,957

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Solution

The fourth proportional to 306,302.66, 459,454.02 and 95,957 is: 143,935.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,302.66 : 459,454.02 = 95,957 : x
  2. Step 2: Convert to fraction form
    306,302.66/459,454.02 = 95,957/x
  3. Step 3: Cross multiply
    306,302.66x = 459,454.02 × 95,957
  4. Step 4: Simplify right side
    306,302.66x = 44,087,829,397.14
  5. Step 5: Solve for x
    x = 44,087,829,397.14/306,302.66
  6. Step 6: Final answer
    x = 143,935.51

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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.