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Finding the Fourth Proportional to 383,041.92, 574,802.40 and 146,404.80

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Solution

The fourth proportional to 383,041.92, 574,802.40 and 146,404.80 is: 219,698.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,041.92 : 574,802.40 = 146,404.80 : x
  2. Step 2: Convert to fraction form
    383,041.92/574,802.40 = 146,404.80/x
  3. Step 3: Cross multiply
    383,041.92x = 574,802.40 × 146,404.80
  4. Step 4: Simplify right side
    383,041.92x = 84,153,830,411.52
  5. Step 5: Solve for x
    x = 84,153,830,411.52/383,041.92
  6. Step 6: Final answer
    x = 219,698.75

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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.