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Finding the Fourth Proportional to 523,571.18, 785,098.16 and 307,484.12

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Solution

The fourth proportional to 523,571.18, 785,098.16 and 307,484.12 is: 461,074.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,571.18 : 785,098.16 = 307,484.12 : x
  2. Step 2: Convert to fraction form
    523,571.18/785,098.16 = 307,484.12/x
  3. Step 3: Cross multiply
    523,571.18x = 785,098.16 × 307,484.12
  4. Step 4: Simplify right side
    523,571.18x = 241,405,216,841.22
  5. Step 5: Solve for x
    x = 241,405,216,841.22/523,571.18
  6. Step 6: Final answer
    x = 461,074.30

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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.