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Finding the Fourth Proportional to 601,508.65, 902,199.38 and 317,085.25

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Solution

The fourth proportional to 601,508.65, 902,199.38 and 317,085.25 is: 475,594.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,508.65 : 902,199.38 = 317,085.25 : x
  2. Step 2: Convert to fraction form
    601,508.65/902,199.38 = 317,085.25/x
  3. Step 3: Cross multiply
    601,508.65x = 902,199.38 × 317,085.25
  4. Step 4: Simplify right side
    601,508.65x = 286,074,115,957.15
  5. Step 5: Solve for x
    x = 286,074,115,957.15/601,508.65
  6. Step 6: Final answer
    x = 475,594.35

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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.