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Finding the Fourth Proportional to 412,423.48, 569,117.46 and 242,624.80

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Solution

The fourth proportional to 412,423.48, 569,117.46 and 242,624.80 is: 334,806.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,423.48 : 569,117.46 = 242,624.80 : x
  2. Step 2: Convert to fraction form
    412,423.48/569,117.46 = 242,624.80/x
  3. Step 3: Cross multiply
    412,423.48x = 569,117.46 × 242,624.80
  4. Step 4: Simplify right side
    412,423.48x = 138,082,009,909.01
  5. Step 5: Solve for x
    x = 138,082,009,909.01/412,423.48
  6. Step 6: Final answer
    x = 334,806.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.