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Finding the Fourth Proportional to 407,715.60, 611,573.40 and 301,427.40

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Solution

The fourth proportional to 407,715.60, 611,573.40 and 301,427.40 is: 452,141.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,715.60 : 611,573.40 = 301,427.40 : x
  2. Step 2: Convert to fraction form
    407,715.60/611,573.40 = 301,427.40/x
  3. Step 3: Cross multiply
    407,715.60x = 611,573.40 × 301,427.40
  4. Step 4: Simplify right side
    407,715.60x = 184,344,979,871.16
  5. Step 5: Solve for x
    x = 184,344,979,871.16/407,715.60
  6. Step 6: Final answer
    x = 452,141.10

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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.