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Finding the Fourth Proportional to 563,312.79, 844,969.81 and 142,588.67

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Solution

The fourth proportional to 563,312.79, 844,969.81 and 142,588.67 is: 213,883.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,312.79 : 844,969.81 = 142,588.67 : x
  2. Step 2: Convert to fraction form
    563,312.79/844,969.81 = 142,588.67/x
  3. Step 3: Cross multiply
    563,312.79x = 844,969.81 × 142,588.67
  4. Step 4: Simplify right side
    563,312.79x = 120,483,116,816.73
  5. Step 5: Solve for x
    x = 120,483,116,816.73/563,312.79
  6. Step 6: Final answer
    x = 213,883.16

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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.