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Finding the Fourth Proportional to 498,323.40, 747,485.10 and 459,832.20

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Solution

The fourth proportional to 498,323.40, 747,485.10 and 459,832.20 is: 689,748.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,323.40 : 747,485.10 = 459,832.20 : x
  2. Step 2: Convert to fraction form
    498,323.40/747,485.10 = 459,832.20/x
  3. Step 3: Cross multiply
    498,323.40x = 747,485.10 × 459,832.20
  4. Step 4: Simplify right side
    498,323.40x = 343,717,718,000.22
  5. Step 5: Solve for x
    x = 343,717,718,000.22/498,323.40
  6. Step 6: Final answer
    x = 689,748.30

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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.