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Finding the Fourth Proportional to 460,154.38, 689,649.99 and 207,165.46

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Solution

The fourth proportional to 460,154.38, 689,649.99 and 207,165.46 is: 310,486.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,154.38 : 689,649.99 = 207,165.46 : x
  2. Step 2: Convert to fraction form
    460,154.38/689,649.99 = 207,165.46/x
  3. Step 3: Cross multiply
    460,154.38x = 689,649.99 × 207,165.46
  4. Step 4: Simplify right side
    460,154.38x = 142,871,657,417.35
  5. Step 5: Solve for x
    x = 142,871,657,417.35/460,154.38
  6. Step 6: Final answer
    x = 310,486.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.