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Finding the Fourth Proportional to 410,495.40, 566,478.43 and 229,210.52

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Solution

The fourth proportional to 410,495.40, 566,478.43 and 229,210.52 is: 316,307.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,495.40 : 566,478.43 = 229,210.52 : x
  2. Step 2: Convert to fraction form
    410,495.40/566,478.43 = 229,210.52/x
  3. Step 3: Cross multiply
    410,495.40x = 566,478.43 × 229,210.52
  4. Step 4: Simplify right side
    410,495.40x = 129,842,812,103.67
  5. Step 5: Solve for x
    x = 129,842,812,103.67/410,495.40
  6. Step 6: Final answer
    x = 316,307.59

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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.