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Finding the Fourth Proportional to 464,542.88, 696,343.82 and 314,798.39

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Solution

The fourth proportional to 464,542.88, 696,343.82 and 314,798.39 is: 471,878.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,542.88 : 696,343.82 = 314,798.39 : x
  2. Step 2: Convert to fraction form
    464,542.88/696,343.82 = 314,798.39/x
  3. Step 3: Cross multiply
    464,542.88x = 696,343.82 × 314,798.39
  4. Step 4: Simplify right side
    464,542.88x = 219,207,908,366.74
  5. Step 5: Solve for x
    x = 219,207,908,366.74/464,542.88
  6. Step 6: Final answer
    x = 471,878.74

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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.