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Finding the Fourth Proportional to 468,514.14, 702,061.65 and 310,175.34

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Solution

The fourth proportional to 468,514.14, 702,061.65 and 310,175.34 is: 464,793.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,514.14 : 702,061.65 = 310,175.34 : x
  2. Step 2: Convert to fraction form
    468,514.14/702,061.65 = 310,175.34/x
  3. Step 3: Cross multiply
    468,514.14x = 702,061.65 × 310,175.34
  4. Step 4: Simplify right side
    468,514.14x = 217,762,210,989.71
  5. Step 5: Solve for x
    x = 217,762,210,989.71/468,514.14
  6. Step 6: Final answer
    x = 464,793.25

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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.