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Finding the Fourth Proportional to 601,130, 829,585.32 and 332,858

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Solution

The fourth proportional to 601,130, 829,585.32 and 332,858 is: 459,358.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,130 : 829,585.32 = 332,858 : x
  2. Step 2: Convert to fraction form
    601,130/829,585.32 = 332,858/x
  3. Step 3: Cross multiply
    601,130x = 829,585.32 × 332,858
  4. Step 4: Simplify right side
    601,130x = 276,134,110,444.56
  5. Step 5: Solve for x
    x = 276,134,110,444.56/601,130
  6. Step 6: Final answer
    x = 459,358.39

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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.