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Finding the Fourth Proportional to 553,199.46, 830,563.56 and 382,019.64

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Solution

The fourth proportional to 553,199.46, 830,563.56 and 382,019.64 is: 573,557.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,199.46 : 830,563.56 = 382,019.64 : x
  2. Step 2: Convert to fraction form
    553,199.46/830,563.56 = 382,019.64/x
  3. Step 3: Cross multiply
    553,199.46x = 830,563.56 × 382,019.64
  4. Step 4: Simplify right side
    553,199.46x = 317,291,592,188.32
  5. Step 5: Solve for x
    x = 317,291,592,188.32/553,199.46
  6. Step 6: Final answer
    x = 573,557.31

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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.