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Finding the Fourth Proportional to 647,410.50, 893,416.23 and 360,948.06

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Solution

The fourth proportional to 647,410.50, 893,416.23 and 360,948.06 is: 498,102.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,410.50 : 893,416.23 = 360,948.06 : x
  2. Step 2: Convert to fraction form
    647,410.50/893,416.23 = 360,948.06/x
  3. Step 3: Cross multiply
    647,410.50x = 893,416.23 × 360,948.06
  4. Step 4: Simplify right side
    647,410.50x = 322,476,854,991.01
  5. Step 5: Solve for x
    x = 322,476,854,991.01/647,410.50
  6. Step 6: Final answer
    x = 498,102.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.