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Finding the Fourth Proportional to 402,821.60, 604,232.40 and 270,111.20

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Solution

The fourth proportional to 402,821.60, 604,232.40 and 270,111.20 is: 405,166.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,821.60 : 604,232.40 = 270,111.20 : x
  2. Step 2: Convert to fraction form
    402,821.60/604,232.40 = 270,111.20/x
  3. Step 3: Cross multiply
    402,821.60x = 604,232.40 × 270,111.20
  4. Step 4: Simplify right side
    402,821.60x = 163,209,938,642.88
  5. Step 5: Solve for x
    x = 163,209,938,642.88/402,821.60
  6. Step 6: Final answer
    x = 405,166.80

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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.