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Finding the Fourth Proportional to 309,509.34, 464,264.16 and 204,303.72

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Solution

The fourth proportional to 309,509.34, 464,264.16 and 204,303.72 is: 306,455.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,509.34 : 464,264.16 = 204,303.72 : x
  2. Step 2: Convert to fraction form
    309,509.34/464,264.16 = 204,303.72/x
  3. Step 3: Cross multiply
    309,509.34x = 464,264.16 × 204,303.72
  4. Step 4: Simplify right side
    309,509.34x = 94,850,894,950.68
  5. Step 5: Solve for x
    x = 94,850,894,950.68/309,509.34
  6. Step 6: Final answer
    x = 306,455.68

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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.