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Finding the Fourth Proportional to 601,509.27, 902,200.32 and 317,085.87

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Solution

The fourth proportional to 601,509.27, 902,200.32 and 317,085.87 is: 475,595.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,509.27 : 902,200.32 = 317,085.87 : x
  2. Step 2: Convert to fraction form
    601,509.27/902,200.32 = 317,085.87/x
  3. Step 3: Cross multiply
    601,509.27x = 902,200.32 × 317,085.87
  4. Step 4: Simplify right side
    601,509.27x = 286,074,973,381.48
  5. Step 5: Solve for x
    x = 286,074,973,381.48/601,509.27
  6. Step 6: Final answer
    x = 475,595.29

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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.