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Finding the Fourth Proportional to 358,424.10, 537,709.66 and 299,670.35

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Solution

The fourth proportional to 358,424.10, 537,709.66 and 299,670.35 is: 449,566.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,424.10 : 537,709.66 = 299,670.35 : x
  2. Step 2: Convert to fraction form
    358,424.10/537,709.66 = 299,670.35/x
  3. Step 3: Cross multiply
    358,424.10x = 537,709.66 × 299,670.35
  4. Step 4: Simplify right side
    358,424.10x = 161,135,638,572.86
  5. Step 5: Solve for x
    x = 161,135,638,572.86/358,424.10
  6. Step 6: Final answer
    x = 449,566.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.