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Finding the Fourth Proportional to 647,029.20, 970,543.80 and 595,853.40

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Solution

The fourth proportional to 647,029.20, 970,543.80 and 595,853.40 is: 893,780.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,029.20 : 970,543.80 = 595,853.40 : x
  2. Step 2: Convert to fraction form
    647,029.20/970,543.80 = 595,853.40/x
  3. Step 3: Cross multiply
    647,029.20x = 970,543.80 × 595,853.40
  4. Step 4: Simplify right side
    647,029.20x = 578,301,823,078.92
  5. Step 5: Solve for x
    x = 578,301,823,078.92/647,029.20
  6. Step 6: Final answer
    x = 893,780.10

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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.