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Finding the Fourth Proportional to 520,099.10, 780,148.65 and 306,647.90

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Solution

The fourth proportional to 520,099.10, 780,148.65 and 306,647.90 is: 459,971.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,099.10 : 780,148.65 = 306,647.90 : x
  2. Step 2: Convert to fraction form
    520,099.10/780,148.65 = 306,647.90/x
  3. Step 3: Cross multiply
    520,099.10x = 780,148.65 × 306,647.90
  4. Step 4: Simplify right side
    520,099.10x = 239,230,945,210.34
  5. Step 5: Solve for x
    x = 239,230,945,210.34/520,099.10
  6. Step 6: Final answer
    x = 459,971.85

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Similar ratio
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1.5x scale

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.