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Finding the Fourth Proportional to 464,666.76, 696,719.52 and 208,452.42

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Solution

The fourth proportional to 464,666.76, 696,719.52 and 208,452.42 is: 312,552.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,666.76 : 696,719.52 = 208,452.42 : x
  2. Step 2: Convert to fraction form
    464,666.76/696,719.52 = 208,452.42/x
  3. Step 3: Cross multiply
    464,666.76x = 696,719.52 × 208,452.42
  4. Step 4: Simplify right side
    464,666.76x = 145,232,870,005.24
  5. Step 5: Solve for x
    x = 145,232,870,005.24/464,666.76
  6. Step 6: Final answer
    x = 312,552.74

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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.