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Finding the Fourth Proportional to 474,003.60, 710,746.20 and 193,203.60

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Solution

The fourth proportional to 474,003.60, 710,746.20 and 193,203.60 is: 289,699.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,003.60 : 710,746.20 = 193,203.60 : x
  2. Step 2: Convert to fraction form
    474,003.60/710,746.20 = 193,203.60/x
  3. Step 3: Cross multiply
    474,003.60x = 710,746.20 × 193,203.60
  4. Step 4: Simplify right side
    474,003.60x = 137,318,724,526.32
  5. Step 5: Solve for x
    x = 137,318,724,526.32/474,003.60
  6. Step 6: Final answer
    x = 289,699.75

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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.