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Finding the Fourth Proportional to 460,196.40, 689,712.96 and 207,207.48

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Solution

The fourth proportional to 460,196.40, 689,712.96 and 207,207.48 is: 310,549.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,196.40 : 689,712.96 = 207,207.48 : x
  2. Step 2: Convert to fraction form
    460,196.40/689,712.96 = 207,207.48/x
  3. Step 3: Cross multiply
    460,196.40x = 689,712.96 × 207,207.48
  4. Step 4: Simplify right side
    460,196.40x = 142,913,684,364.94
  5. Step 5: Solve for x
    x = 142,913,684,364.94/460,196.40
  6. Step 6: Final answer
    x = 310,549.33

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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.