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Finding the Fourth Proportional to 470,181.60, 705,272.40 and 292,597.20

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Solution

The fourth proportional to 470,181.60, 705,272.40 and 292,597.20 is: 438,895.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,181.60 : 705,272.40 = 292,597.20 : x
  2. Step 2: Convert to fraction form
    470,181.60/705,272.40 = 292,597.20/x
  3. Step 3: Cross multiply
    470,181.60x = 705,272.40 × 292,597.20
  4. Step 4: Simplify right side
    470,181.60x = 206,360,729,477.28
  5. Step 5: Solve for x
    x = 206,360,729,477.28/470,181.60
  6. Step 6: Final answer
    x = 438,895.80

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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.