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Finding the Fourth Proportional to 413,980.55, 571,340.76 and 230,237.76

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Solution

The fourth proportional to 413,980.55, 571,340.76 and 230,237.76 is: 317,754.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,980.55 : 571,340.76 = 230,237.76 : x
  2. Step 2: Convert to fraction form
    413,980.55/571,340.76 = 230,237.76/x
  3. Step 3: Cross multiply
    413,980.55x = 571,340.76 × 230,237.76
  4. Step 4: Simplify right side
    413,980.55x = 131,544,216,779.10
  5. Step 5: Solve for x
    x = 131,544,216,779.10/413,980.55
  6. Step 6: Final answer
    x = 317,754.59

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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.