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Finding the Fourth Proportional to 710,102.50, 1,065,175.62 and 310,537.60

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Solution

The fourth proportional to 710,102.50, 1,065,175.62 and 310,537.60 is: 465,815.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    710,102.50 : 1,065,175.62 = 310,537.60 : x
  2. Step 2: Convert to fraction form
    710,102.50/1,065,175.62 = 310,537.60/x
  3. Step 3: Cross multiply
    710,102.50x = 1,065,175.62 × 310,537.60
  4. Step 4: Simplify right side
    710,102.50x = 330,777,080,613.31
  5. Step 5: Solve for x
    x = 330,777,080,613.31/710,102.50
  6. Step 6: Final answer
    x = 465,815.96

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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.