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Finding the Fourth Proportional to 334,088.58, 501,206.59 and 97,449.78

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Solution

The fourth proportional to 334,088.58, 501,206.59 and 97,449.78 is: 146,196.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,088.58 : 501,206.59 = 97,449.78 : x
  2. Step 2: Convert to fraction form
    334,088.58/501,206.59 = 97,449.78/x
  3. Step 3: Cross multiply
    334,088.58x = 501,206.59 × 97,449.78
  4. Step 4: Simplify right side
    334,088.58x = 48,842,471,930.05
  5. Step 5: Solve for x
    x = 48,842,471,930.05/334,088.58
  6. Step 6: Final answer
    x = 146,196.17

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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.