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Finding the Fourth Proportional to 504,962.10, 756,422.55 and 314,838.90

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Solution

The fourth proportional to 504,962.10, 756,422.55 and 314,838.90 is: 471,622.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,962.10 : 756,422.55 = 314,838.90 : x
  2. Step 2: Convert to fraction form
    504,962.10/756,422.55 = 314,838.90/x
  3. Step 3: Cross multiply
    504,962.10x = 756,422.55 × 314,838.90
  4. Step 4: Simplify right side
    504,962.10x = 238,151,243,577.20
  5. Step 5: Solve for x
    x = 238,151,243,577.20/504,962.10
  6. Step 6: Final answer
    x = 471,622.02

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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.