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Finding the Fourth Proportional to 506,656.05, 759,864.69 and 186,634.14

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Solution

The fourth proportional to 506,656.05, 759,864.69 and 186,634.14 is: 279,907.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,656.05 : 759,864.69 = 186,634.14 : x
  2. Step 2: Convert to fraction form
    506,656.05/759,864.69 = 186,634.14/x
  3. Step 3: Cross multiply
    506,656.05x = 759,864.69 × 186,634.14
  4. Step 4: Simplify right side
    506,656.05x = 141,816,688,202.02
  5. Step 5: Solve for x
    x = 141,816,688,202.02/506,656.05
  6. Step 6: Final answer
    x = 279,907.22

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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.