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Finding the Fourth Proportional to 601,539.60, 902,503.80 and 402,085.20

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Solution

The fourth proportional to 601,539.60, 902,503.80 and 402,085.20 is: 603,257.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,539.60 : 902,503.80 = 402,085.20 : x
  2. Step 2: Convert to fraction form
    601,539.60/902,503.80 = 402,085.20/x
  3. Step 3: Cross multiply
    601,539.60x = 902,503.80 × 402,085.20
  4. Step 4: Simplify right side
    601,539.60x = 362,883,420,923.76
  5. Step 5: Solve for x
    x = 362,883,420,923.76/601,539.60
  6. Step 6: Final answer
    x = 603,257.74

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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.