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Finding the Fourth Proportional to 314,153.02, 467,676.17 and 312,284.66

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Solution

The fourth proportional to 314,153.02, 467,676.17 and 312,284.66 is: 464,894.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,153.02 : 467,676.17 = 312,284.66 : x
  2. Step 2: Convert to fraction form
    314,153.02/467,676.17 = 312,284.66/x
  3. Step 3: Cross multiply
    314,153.02x = 467,676.17 × 312,284.66
  4. Step 4: Simplify right side
    314,153.02x = 146,048,089,838.75
  5. Step 5: Solve for x
    x = 146,048,089,838.75/314,153.02
  6. Step 6: Final answer
    x = 464,894.76

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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.