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Finding the Fourth Proportional to 619,938.16, 927,783.84 and 430,612

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Solution

The fourth proportional to 619,938.16, 927,783.84 and 430,612 is: 644,443.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,938.16 : 927,783.84 = 430,612 : x
  2. Step 2: Convert to fraction form
    619,938.16/927,783.84 = 430,612/x
  3. Step 3: Cross multiply
    619,938.16x = 927,783.84 × 430,612
  4. Step 4: Simplify right side
    619,938.16x = 399,514,854,910.08
  5. Step 5: Solve for x
    x = 399,514,854,910.08/619,938.16
  6. Step 6: Final answer
    x = 644,443.08

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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.