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Finding the Fourth Proportional to 506,460.22, 759,409.90 and 207,151.02

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Solution

The fourth proportional to 506,460.22, 759,409.90 and 207,151.02 is: 310,611.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,460.22 : 759,409.90 = 207,151.02 : x
  2. Step 2: Convert to fraction form
    506,460.22/759,409.90 = 207,151.02/x
  3. Step 3: Cross multiply
    506,460.22x = 759,409.90 × 207,151.02
  4. Step 4: Simplify right side
    506,460.22x = 157,312,534,865.22
  5. Step 5: Solve for x
    x = 157,312,534,865.22/506,460.22
  6. Step 6: Final answer
    x = 310,611.83

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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.