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Finding the Fourth Proportional to 537,918, 806,983.48 and 153,670.17

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Solution

The fourth proportional to 537,918, 806,983.48 and 153,670.17 is: 230,535.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,918 : 806,983.48 = 153,670.17 : x
  2. Step 2: Convert to fraction form
    537,918/806,983.48 = 153,670.17/x
  3. Step 3: Cross multiply
    537,918x = 806,983.48 × 153,670.17
  4. Step 4: Simplify right side
    537,918x = 124,009,288,558.79
  5. Step 5: Solve for x
    x = 124,009,288,558.79/537,918
  6. Step 6: Final answer
    x = 230,535.67

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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.