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Finding the Fourth Proportional to 601,506.65, 902,196.38 and 317,083.25

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Solution

The fourth proportional to 601,506.65, 902,196.38 and 317,083.25 is: 475,591.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,506.65 : 902,196.38 = 317,083.25 : x
  2. Step 2: Convert to fraction form
    601,506.65/902,196.38 = 317,083.25/x
  3. Step 3: Cross multiply
    601,506.65x = 902,196.38 × 317,083.25
  4. Step 4: Simplify right side
    601,506.65x = 286,071,356,590.36
  5. Step 5: Solve for x
    x = 286,071,356,590.36/601,506.65
  6. Step 6: Final answer
    x = 475,591.35

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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.