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Finding the Fourth Proportional to 506,851.24, 758,762.10 and 306,565.84

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Solution

The fourth proportional to 506,851.24, 758,762.10 and 306,565.84 is: 458,932.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,851.24 : 758,762.10 = 306,565.84 : x
  2. Step 2: Convert to fraction form
    506,851.24/758,762.10 = 306,565.84/x
  3. Step 3: Cross multiply
    506,851.24x = 758,762.10 × 306,565.84
  4. Step 4: Simplify right side
    506,851.24x = 232,610,540,546.66
  5. Step 5: Solve for x
    x = 232,610,540,546.66/506,851.24
  6. Step 6: Final answer
    x = 458,932.57

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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.