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Finding the Fourth Proportional to 506,361.30, 759,308.19 and 186,432.82

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Solution

The fourth proportional to 506,361.30, 759,308.19 and 186,432.82 is: 279,563.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,361.30 : 759,308.19 = 186,432.82 : x
  2. Step 2: Convert to fraction form
    506,361.30/759,308.19 = 186,432.82/x
  3. Step 3: Cross multiply
    506,361.30x = 759,308.19 × 186,432.82
  4. Step 4: Simplify right side
    506,361.30x = 141,559,967,110.80
  5. Step 5: Solve for x
    x = 141,559,967,110.80/506,361.30
  6. Step 6: Final answer
    x = 279,563.16

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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.