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Finding the Fourth Proportional to 524,216.30, 785,158.05 and 430,904.30

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Solution

The fourth proportional to 524,216.30, 785,158.05 and 430,904.30 is: 645,397.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,216.30 : 785,158.05 = 430,904.30 : x
  2. Step 2: Convert to fraction form
    524,216.30/785,158.05 = 430,904.30/x
  3. Step 3: Cross multiply
    524,216.30x = 785,158.05 × 430,904.30
  4. Step 4: Simplify right side
    524,216.30x = 338,327,979,924.62
  5. Step 5: Solve for x
    x = 338,327,979,924.62/524,216.30
  6. Step 6: Final answer
    x = 645,397.67

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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.