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Finding the Fourth Proportional to 746,854.56, 1,030,648.05 and 407,322.81

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Solution

The fourth proportional to 746,854.56, 1,030,648.05 and 407,322.81 is: 562,099.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    746,854.56 : 1,030,648.05 = 407,322.81 : x
  2. Step 2: Convert to fraction form
    746,854.56/1,030,648.05 = 407,322.81/x
  3. Step 3: Cross multiply
    746,854.56x = 1,030,648.05 × 407,322.81
  4. Step 4: Simplify right side
    746,854.56x = 419,806,459,847.02
  5. Step 5: Solve for x
    x = 419,806,459,847.02/746,854.56
  6. Step 6: Final answer
    x = 562,099.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.