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Finding the Fourth Proportional to 553,157.24, 828,522 and 457,301.03

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Solution

The fourth proportional to 553,157.24, 828,522 and 457,301.03 is: 684,948.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,157.24 : 828,522 = 457,301.03 : x
  2. Step 2: Convert to fraction form
    553,157.24/828,522 = 457,301.03/x
  3. Step 3: Cross multiply
    553,157.24x = 828,522 × 457,301.03
  4. Step 4: Simplify right side
    553,157.24x = 378,883,959,835.05
  5. Step 5: Solve for x
    x = 378,883,959,835.05/553,157.24
  6. Step 6: Final answer
    x = 684,948.03

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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.