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Finding the Fourth Proportional to 506,192.40, 759,297.60 and 151,210.80

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Solution

The fourth proportional to 506,192.40, 759,297.60 and 151,210.80 is: 226,818.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,192.40 : 759,297.60 = 151,210.80 : x
  2. Step 2: Convert to fraction form
    506,192.40/759,297.60 = 151,210.80/x
  3. Step 3: Cross multiply
    506,192.40x = 759,297.60 × 151,210.80
  4. Step 4: Simplify right side
    506,192.40x = 114,813,997,534.08
  5. Step 5: Solve for x
    x = 114,813,997,534.08/506,192.40
  6. Step 6: Final answer
    x = 226,818.89

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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.