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Finding the Fourth Proportional to 420,145.08, 579,807.12 and 229,158.48

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Solution

The fourth proportional to 420,145.08, 579,807.12 and 229,158.48 is: 316,242.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,145.08 : 579,807.12 = 229,158.48 : x
  2. Step 2: Convert to fraction form
    420,145.08/579,807.12 = 229,158.48/x
  3. Step 3: Cross multiply
    420,145.08x = 579,807.12 × 229,158.48
  4. Step 4: Simplify right side
    420,145.08x = 132,867,718,312.38
  5. Step 5: Solve for x
    x = 132,867,718,312.38/420,145.08
  6. Step 6: Final answer
    x = 316,242.47

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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.