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Finding the Fourth Proportional to 306,248.52, 459,504.54 and 106,460.13

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Solution

The fourth proportional to 306,248.52, 459,504.54 and 106,460.13 is: 159,736.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,248.52 : 459,504.54 = 106,460.13 : x
  2. Step 2: Convert to fraction form
    306,248.52/459,504.54 = 106,460.13/x
  3. Step 3: Cross multiply
    306,248.52x = 459,504.54 × 106,460.13
  4. Step 4: Simplify right side
    306,248.52x = 48,918,913,063.99
  5. Step 5: Solve for x
    x = 48,918,913,063.99/306,248.52
  6. Step 6: Final answer
    x = 159,736.00

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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.