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Finding the Fourth Proportional to 971,408, 1,340,543.04 and 569,000

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Solution

The fourth proportional to 971,408, 1,340,543.04 and 569,000 is: 785,220

Step by Step Solution

  1. Step 1: Write the proportion equation
    971,408 : 1,340,543.04 = 569,000 : x
  2. Step 2: Convert to fraction form
    971,408/1,340,543.04 = 569,000/x
  3. Step 3: Cross multiply
    971,408x = 1,340,543.04 × 569,000
  4. Step 4: Simplify right side
    971,408x = 762,768,989,760
  5. Step 5: Solve for x
    x = 762,768,989,760/971,408
  6. Step 6: Final answer
    x = 785,220

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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.