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Finding the Fourth Proportional to 506,334.80, 759,055.22 and 191,013.14

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Solution

The fourth proportional to 506,334.80, 759,055.22 and 191,013.14 is: 286,351.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,334.80 : 759,055.22 = 191,013.14 : x
  2. Step 2: Convert to fraction form
    506,334.80/759,055.22 = 191,013.14/x
  3. Step 3: Cross multiply
    506,334.80x = 759,055.22 × 191,013.14
  4. Step 4: Simplify right side
    506,334.80x = 144,989,520,050.53
  5. Step 5: Solve for x
    x = 144,989,520,050.53/506,334.80
  6. Step 6: Final answer
    x = 286,351.09

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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.