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Finding the Fourth Proportional to 464,856.30, 697,284.45 and 346,758.30

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Solution

The fourth proportional to 464,856.30, 697,284.45 and 346,758.30 is: 520,137.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,856.30 : 697,284.45 = 346,758.30 : x
  2. Step 2: Convert to fraction form
    464,856.30/697,284.45 = 346,758.30/x
  3. Step 3: Cross multiply
    464,856.30x = 697,284.45 × 346,758.30
  4. Step 4: Simplify right side
    464,856.30x = 241,789,170,498.44
  5. Step 5: Solve for x
    x = 241,789,170,498.44/464,856.30
  6. Step 6: Final answer
    x = 520,137.45

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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.