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Finding the Fourth Proportional to 434,830.80, 652,246.20 and 383,509.20

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Solution

The fourth proportional to 434,830.80, 652,246.20 and 383,509.20 is: 575,263.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,830.80 : 652,246.20 = 383,509.20 : x
  2. Step 2: Convert to fraction form
    434,830.80/652,246.20 = 383,509.20/x
  3. Step 3: Cross multiply
    434,830.80x = 652,246.20 × 383,509.20
  4. Step 4: Simplify right side
    434,830.80x = 250,142,418,365.04
  5. Step 5: Solve for x
    x = 250,142,418,365.04/434,830.80
  6. Step 6: Final answer
    x = 575,263.80

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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.