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Finding the Fourth Proportional to 497,140.40, 745,834.80 and 160,212.80

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Solution

The fourth proportional to 497,140.40, 745,834.80 and 160,212.80 is: 240,359.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,140.40 : 745,834.80 = 160,212.80 : x
  2. Step 2: Convert to fraction form
    497,140.40/745,834.80 = 160,212.80/x
  3. Step 3: Cross multiply
    497,140.40x = 745,834.80 × 160,212.80
  4. Step 4: Simplify right side
    497,140.40x = 119,492,281,645.44
  5. Step 5: Solve for x
    x = 119,492,281,645.44/497,140.40
  6. Step 6: Final answer
    x = 240,359.23

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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.