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Finding the Fourth Proportional to 601,852.32, 830,595.60 and 347,214.24

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Solution

The fourth proportional to 601,852.32, 830,595.60 and 347,214.24 is: 479,178.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,852.32 : 830,595.60 = 347,214.24 : x
  2. Step 2: Convert to fraction form
    601,852.32/830,595.60 = 347,214.24/x
  3. Step 3: Cross multiply
    601,852.32x = 830,595.60 × 347,214.24
  4. Step 4: Simplify right side
    601,852.32x = 288,394,620,001.34
  5. Step 5: Solve for x
    x = 288,394,620,001.34/601,852.32
  6. Step 6: Final answer
    x = 479,178.38

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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.