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Finding the Fourth Proportional to 464,269.32, 696,403.80 and 306,460.80

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Solution

The fourth proportional to 464,269.32, 696,403.80 and 306,460.80 is: 459,691.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,269.32 : 696,403.80 = 306,460.80 : x
  2. Step 2: Convert to fraction form
    464,269.32/696,403.80 = 306,460.80/x
  3. Step 3: Cross multiply
    464,269.32x = 696,403.80 × 306,460.80
  4. Step 4: Simplify right side
    464,269.32x = 213,420,465,671.04
  5. Step 5: Solve for x
    x = 213,420,465,671.04/464,269.32
  6. Step 6: Final answer
    x = 459,691.08

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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.