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Finding the Fourth Proportional to 507,281.70, 698,455.41 and 430,641.96

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Solution

The fourth proportional to 507,281.70, 698,455.41 and 430,641.96 is: 592,933.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,281.70 : 698,455.41 = 430,641.96 : x
  2. Step 2: Convert to fraction form
    507,281.70/698,455.41 = 430,641.96/x
  3. Step 3: Cross multiply
    507,281.70x = 698,455.41 × 430,641.96
  4. Step 4: Simplify right side
    507,281.70x = 300,784,206,735.00
  5. Step 5: Solve for x
    x = 300,784,206,735.00/507,281.70
  6. Step 6: Final answer
    x = 592,933.29

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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.