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Finding the Fourth Proportional to 448,051.60, 672,196.20 and 195,223.60

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Solution

The fourth proportional to 448,051.60, 672,196.20 and 195,223.60 is: 292,887.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,051.60 : 672,196.20 = 195,223.60 : x
  2. Step 2: Convert to fraction form
    448,051.60/672,196.20 = 195,223.60/x
  3. Step 3: Cross multiply
    448,051.60x = 672,196.20 × 195,223.60
  4. Step 4: Simplify right side
    448,051.60x = 131,228,562,070.32
  5. Step 5: Solve for x
    x = 131,228,562,070.32/448,051.60
  6. Step 6: Final answer
    x = 292,887.16

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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.