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Finding the Fourth Proportional to 474,410.40, 712,004.40 and 458,858.40

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Solution

The fourth proportional to 474,410.40, 712,004.40 and 458,858.40 is: 688,663.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,410.40 : 712,004.40 = 458,858.40 : x
  2. Step 2: Convert to fraction form
    474,410.40/712,004.40 = 458,858.40/x
  3. Step 3: Cross multiply
    474,410.40x = 712,004.40 × 458,858.40
  4. Step 4: Simplify right side
    474,410.40x = 326,709,199,776.96
  5. Step 5: Solve for x
    x = 326,709,199,776.96/474,410.40
  6. Step 6: Final answer
    x = 688,663.65

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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.