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Finding the Fourth Proportional to 664,461.70, 996,838.35 and 215,106.10

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Solution

The fourth proportional to 664,461.70, 996,838.35 and 215,106.10 is: 322,706.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,461.70 : 996,838.35 = 215,106.10 : x
  2. Step 2: Convert to fraction form
    664,461.70/996,838.35 = 215,106.10/x
  3. Step 3: Cross multiply
    664,461.70x = 996,838.35 × 215,106.10
  4. Step 4: Simplify right side
    664,461.70x = 214,426,009,798.94
  5. Step 5: Solve for x
    x = 214,426,009,798.94/664,461.70
  6. Step 6: Final answer
    x = 322,706.35

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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.