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Finding the Fourth Proportional to 420,500.93, 581,050.35 and 299,432.03

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Solution

The fourth proportional to 420,500.93, 581,050.35 and 299,432.03 is: 413,756.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,500.93 : 581,050.35 = 299,432.03 : x
  2. Step 2: Convert to fraction form
    420,500.93/581,050.35 = 299,432.03/x
  3. Step 3: Cross multiply
    420,500.93x = 581,050.35 × 299,432.03
  4. Step 4: Simplify right side
    420,500.93x = 173,985,082,927.46
  5. Step 5: Solve for x
    x = 173,985,082,927.46/420,500.93
  6. Step 6: Final answer
    x = 413,756.72

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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.