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Finding the Fourth Proportional to 506,365.82, 759,314.95 and 186,437.34

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Solution

The fourth proportional to 506,365.82, 759,314.95 and 186,437.34 is: 279,569.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,365.82 : 759,314.95 = 186,437.34 : x
  2. Step 2: Convert to fraction form
    506,365.82/759,314.95 = 186,437.34/x
  3. Step 3: Cross multiply
    506,365.82x = 759,314.95 × 186,437.34
  4. Step 4: Simplify right side
    506,365.82x = 141,564,659,500.23
  5. Step 5: Solve for x
    x = 141,564,659,500.23/506,365.82
  6. Step 6: Final answer
    x = 279,569.94

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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.