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Finding the Fourth Proportional to 464,905.10, 697,357.65 and 464,905.10

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Solution

The fourth proportional to 464,905.10, 697,357.65 and 464,905.10 is: 697,357.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,905.10 : 697,357.65 = 464,905.10 : x
  2. Step 2: Convert to fraction form
    464,905.10/697,357.65 = 464,905.10/x
  3. Step 3: Cross multiply
    464,905.10x = 697,357.65 × 464,905.10
  4. Step 4: Simplify right side
    464,905.10x = 324,205,128,009.02
  5. Step 5: Solve for x
    x = 324,205,128,009.02/464,905.10
  6. Step 6: Final answer
    x = 697,357.65

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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.