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Finding the Fourth Proportional to 410,695.29, 566,703.47 and 229,384.08

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Solution

The fourth proportional to 410,695.29, 566,703.47 and 229,384.08 is: 316,518.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,695.29 : 566,703.47 = 229,384.08 : x
  2. Step 2: Convert to fraction form
    410,695.29/566,703.47 = 229,384.08/x
  3. Step 3: Cross multiply
    410,695.29x = 566,703.47 × 229,384.08
  4. Step 4: Simplify right side
    410,695.29x = 129,992,754,672.22
  5. Step 5: Solve for x
    x = 129,992,754,672.22/410,695.29
  6. Step 6: Final answer
    x = 316,518.74

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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.