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Finding the Fourth Proportional to 463,322.40, 695,037.60 and 147,811.20

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Solution

The fourth proportional to 463,322.40, 695,037.60 and 147,811.20 is: 221,734.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,322.40 : 695,037.60 = 147,811.20 : x
  2. Step 2: Convert to fraction form
    463,322.40/695,037.60 = 147,811.20/x
  3. Step 3: Cross multiply
    463,322.40x = 695,037.60 × 147,811.20
  4. Step 4: Simplify right side
    463,322.40x = 102,734,341,701.12
  5. Step 5: Solve for x
    x = 102,734,341,701.12/463,322.40
  6. Step 6: Final answer
    x = 221,734.03

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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.