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Finding the Fourth Proportional to 314,153.52, 467,676.91 and 312,285.15

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Solution

The fourth proportional to 314,153.52, 467,676.91 and 312,285.15 is: 464,895.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,153.52 : 467,676.91 = 312,285.15 : x
  2. Step 2: Convert to fraction form
    314,153.52/467,676.91 = 312,285.15/x
  3. Step 3: Cross multiply
    314,153.52x = 467,676.91 × 312,285.15
  4. Step 4: Simplify right side
    314,153.52x = 146,048,553,990.89
  5. Step 5: Solve for x
    x = 146,048,553,990.89/314,153.52
  6. Step 6: Final answer
    x = 464,895.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.