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Finding the Fourth Proportional to 310,475.10, 465,622.50 and 120,893.10

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Solution

The fourth proportional to 310,475.10, 465,622.50 and 120,893.10 is: 181,304.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,475.10 : 465,622.50 = 120,893.10 : x
  2. Step 2: Convert to fraction form
    310,475.10/465,622.50 = 120,893.10/x
  3. Step 3: Cross multiply
    310,475.10x = 465,622.50 × 120,893.10
  4. Step 4: Simplify right side
    310,475.10x = 56,290,547,454.75
  5. Step 5: Solve for x
    x = 56,290,547,454.75/310,475.10
  6. Step 6: Final answer
    x = 181,304.55

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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.