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Finding the Fourth Proportional to 420,513.70, 580,299.66 and 229,530.28

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Solution

The fourth proportional to 420,513.70, 580,299.66 and 229,530.28 is: 316,746.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,513.70 : 580,299.66 = 229,530.28 : x
  2. Step 2: Convert to fraction form
    420,513.70/580,299.66 = 229,530.28/x
  3. Step 3: Cross multiply
    420,513.70x = 580,299.66 × 229,530.28
  4. Step 4: Simplify right side
    420,513.70x = 133,196,343,443.71
  5. Step 5: Solve for x
    x = 133,196,343,443.71/420,513.70
  6. Step 6: Final answer
    x = 316,746.74

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1.5x scale

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.