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Finding the Fourth Proportional to 474,026.85, 709,293.06 and 284,602.32

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Solution

The fourth proportional to 474,026.85, 709,293.06 and 284,602.32 is: 425,854.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,026.85 : 709,293.06 = 284,602.32 : x
  2. Step 2: Convert to fraction form
    474,026.85/709,293.06 = 284,602.32/x
  3. Step 3: Cross multiply
    474,026.85x = 709,293.06 × 284,602.32
  4. Step 4: Simplify right side
    474,026.85x = 201,866,450,435.90
  5. Step 5: Solve for x
    x = 201,866,450,435.90/474,026.85
  6. Step 6: Final answer
    x = 425,854.46

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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.