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Finding the Fourth Proportional to 280,436.16, 420,655.32 and 70,074.30

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Solution

The fourth proportional to 280,436.16, 420,655.32 and 70,074.30 is: 105,111.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,436.16 : 420,655.32 = 70,074.30 : x
  2. Step 2: Convert to fraction form
    280,436.16/420,655.32 = 70,074.30/x
  3. Step 3: Cross multiply
    280,436.16x = 420,655.32 × 70,074.30
  4. Step 4: Simplify right side
    280,436.16x = 29,477,127,090.28
  5. Step 5: Solve for x
    x = 29,477,127,090.28/280,436.16
  6. Step 6: Final answer
    x = 105,111.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.