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Finding the Fourth Proportional to 410,625.95, 566,607.83 and 229,314.77

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Solution

The fourth proportional to 410,625.95, 566,607.83 and 229,314.77 is: 316,423.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,625.95 : 566,607.83 = 229,314.77 : x
  2. Step 2: Convert to fraction form
    410,625.95/566,607.83 = 229,314.77/x
  3. Step 3: Cross multiply
    410,625.95x = 566,607.83 × 229,314.77
  4. Step 4: Simplify right side
    410,625.95x = 129,931,544,216.65
  5. Step 5: Solve for x
    x = 129,931,544,216.65/410,625.95
  6. Step 6: Final answer
    x = 316,423.12

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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.