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Finding the Fourth Proportional to 472,199.76, 707,784.21 and 232,478.64

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Solution

The fourth proportional to 472,199.76, 707,784.21 and 232,478.64 is: 348,464.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,199.76 : 707,784.21 = 232,478.64 : x
  2. Step 2: Convert to fraction form
    472,199.76/707,784.21 = 232,478.64/x
  3. Step 3: Cross multiply
    472,199.76x = 707,784.21 × 232,478.64
  4. Step 4: Simplify right side
    472,199.76x = 164,544,710,554.27
  5. Step 5: Solve for x
    x = 164,544,710,554.27/472,199.76
  6. Step 6: Final answer
    x = 348,464.20

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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.