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Finding the Fourth Proportional to 489,712.80, 734,569.20 and 470,359.20

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Solution

The fourth proportional to 489,712.80, 734,569.20 and 470,359.20 is: 705,538.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,712.80 : 734,569.20 = 470,359.20 : x
  2. Step 2: Convert to fraction form
    489,712.80/734,569.20 = 470,359.20/x
  3. Step 3: Cross multiply
    489,712.80x = 734,569.20 × 470,359.20
  4. Step 4: Simplify right side
    489,712.80x = 345,511,381,256.64
  5. Step 5: Solve for x
    x = 345,511,381,256.64/489,712.80
  6. Step 6: Final answer
    x = 705,538.80

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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.