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Finding the Fourth Proportional to 564,492.88, 779,002.68 and 309,846.16

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Solution

The fourth proportional to 564,492.88, 779,002.68 and 309,846.16 is: 427,589.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,492.88 : 779,002.68 = 309,846.16 : x
  2. Step 2: Convert to fraction form
    564,492.88/779,002.68 = 309,846.16/x
  3. Step 3: Cross multiply
    564,492.88x = 779,002.68 × 309,846.16
  4. Step 4: Simplify right side
    564,492.88x = 241,370,989,027.71
  5. Step 5: Solve for x
    x = 241,370,989,027.71/564,492.88
  6. Step 6: Final answer
    x = 427,589.08

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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.