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Finding the Fourth Proportional to 464,347.07, 696,520.76 and 306,538.64

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Solution

The fourth proportional to 464,347.07, 696,520.76 and 306,538.64 is: 459,808.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,347.07 : 696,520.76 = 306,538.64 : x
  2. Step 2: Convert to fraction form
    464,347.07/696,520.76 = 306,538.64/x
  3. Step 3: Cross multiply
    464,347.07x = 696,520.76 × 306,538.64
  4. Step 4: Simplify right side
    464,347.07x = 213,510,521,486.87
  5. Step 5: Solve for x
    x = 213,510,521,486.87/464,347.07
  6. Step 6: Final answer
    x = 459,808.06

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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.