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Finding the Fourth Proportional to 483,045.40, 724,697.70 and 430,816.60

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Solution

The fourth proportional to 483,045.40, 724,697.70 and 430,816.60 is: 646,340.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,045.40 : 724,697.70 = 430,816.60 : x
  2. Step 2: Convert to fraction form
    483,045.40/724,697.70 = 430,816.60/x
  3. Step 3: Cross multiply
    483,045.40x = 724,697.70 × 430,816.60
  4. Step 4: Simplify right side
    483,045.40x = 312,211,799,141.82
  5. Step 5: Solve for x
    x = 312,211,799,141.82/483,045.40
  6. Step 6: Final answer
    x = 646,340.49

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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.