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Finding the Fourth Proportional to 506,136.58, 698,441.07 and 279,767.50

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Solution

The fourth proportional to 506,136.58, 698,441.07 and 279,767.50 is: 386,064.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,136.58 : 698,441.07 = 279,767.50 : x
  2. Step 2: Convert to fraction form
    506,136.58/698,441.07 = 279,767.50/x
  3. Step 3: Cross multiply
    506,136.58x = 698,441.07 × 279,767.50
  4. Step 4: Simplify right side
    506,136.58x = 195,401,112,051.23
  5. Step 5: Solve for x
    x = 195,401,112,051.23/506,136.58
  6. Step 6: Final answer
    x = 386,064.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.