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Finding the Fourth Proportional to 472,916.82, 709,487.76 and 153,068.67

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Solution

The fourth proportional to 472,916.82, 709,487.76 and 153,068.67 is: 229,639.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,916.82 : 709,487.76 = 153,068.67 : x
  2. Step 2: Convert to fraction form
    472,916.82/709,487.76 = 153,068.67/x
  3. Step 3: Cross multiply
    472,916.82x = 709,487.76 × 153,068.67
  4. Step 4: Simplify right side
    472,916.82x = 108,600,347,804.48
  5. Step 5: Solve for x
    x = 108,600,347,804.48/472,916.82
  6. Step 6: Final answer
    x = 229,639.43

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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.