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Finding the Fourth Proportional to 692,097.68, 954,914.34 and 405,463.76

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Solution

The fourth proportional to 692,097.68, 954,914.34 and 405,463.76 is: 559,434.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    692,097.68 : 954,914.34 = 405,463.76 : x
  2. Step 2: Convert to fraction form
    692,097.68/954,914.34 = 405,463.76/x
  3. Step 3: Cross multiply
    692,097.68x = 954,914.34 × 405,463.76
  4. Step 4: Simplify right side
    692,097.68x = 387,183,158,774.32
  5. Step 5: Solve for x
    x = 387,183,158,774.32/692,097.68
  6. Step 6: Final answer
    x = 559,434.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.