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Finding the Fourth Proportional to 416,530.19, 624,666.11 and 150,256.10

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Solution

The fourth proportional to 416,530.19, 624,666.11 and 150,256.10 is: 225,337.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,530.19 : 624,666.11 = 150,256.10 : x
  2. Step 2: Convert to fraction form
    416,530.19/624,666.11 = 150,256.10/x
  3. Step 3: Cross multiply
    416,530.19x = 624,666.11 × 150,256.10
  4. Step 4: Simplify right side
    416,530.19x = 93,859,893,490.77
  5. Step 5: Solve for x
    x = 93,859,893,490.77/416,530.19
  6. Step 6: Final answer
    x = 225,337.55

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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.