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Finding the Fourth Proportional to 393,488.80, 590,233.20 and 314,756.80

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Solution

The fourth proportional to 393,488.80, 590,233.20 and 314,756.80 is: 472,135.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,488.80 : 590,233.20 = 314,756.80 : x
  2. Step 2: Convert to fraction form
    393,488.80/590,233.20 = 314,756.80/x
  3. Step 3: Cross multiply
    393,488.80x = 590,233.20 × 314,756.80
  4. Step 4: Simplify right side
    393,488.80x = 185,779,913,285.76
  5. Step 5: Solve for x
    x = 185,779,913,285.76/393,488.80
  6. Step 6: Final answer
    x = 472,135.20

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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.