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Finding the Fourth Proportional to 506,466.49, 759,419.25 and 207,157.27

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Solution

The fourth proportional to 506,466.49, 759,419.25 and 207,157.27 is: 310,621.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,466.49 : 759,419.25 = 207,157.27 : x
  2. Step 2: Convert to fraction form
    506,466.49/759,419.25 = 207,157.27/x
  3. Step 3: Cross multiply
    506,466.49x = 759,419.25 × 207,157.27
  4. Step 4: Simplify right side
    506,466.49x = 157,319,218,615.45
  5. Step 5: Solve for x
    x = 157,319,218,615.45/506,466.49
  6. Step 6: Final answer
    x = 310,621.18

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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.