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Finding the Fourth Proportional to 464,851.05, 697,276.58 and 314,276.10

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Solution

The fourth proportional to 464,851.05, 697,276.58 and 314,276.10 is: 471,414.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,851.05 : 697,276.58 = 314,276.10 : x
  2. Step 2: Convert to fraction form
    464,851.05/697,276.58 = 314,276.10/x
  3. Step 3: Cross multiply
    464,851.05x = 697,276.58 × 314,276.10
  4. Step 4: Simplify right side
    464,851.05x = 219,137,362,612.36
  5. Step 5: Solve for x
    x = 219,137,362,612.36/464,851.05
  6. Step 6: Final answer
    x = 471,414.15

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Similar ratio
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1.5x scale

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.