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Finding the Fourth Proportional to 315,152.10, 471,853.35 and 306,404.10

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Solution

The fourth proportional to 315,152.10, 471,853.35 and 306,404.10 is: 458,755.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,152.10 : 471,853.35 = 306,404.10 : x
  2. Step 2: Convert to fraction form
    315,152.10/471,853.35 = 306,404.10/x
  3. Step 3: Cross multiply
    315,152.10x = 471,853.35 × 306,404.10
  4. Step 4: Simplify right side
    315,152.10x = 144,577,801,038.74
  5. Step 5: Solve for x
    x = 144,577,801,038.74/315,152.10
  6. Step 6: Final answer
    x = 458,755.63

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