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Finding the Fourth Proportional to 897,064, 1,345,596 and 364,874.56

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Solution

The fourth proportional to 897,064, 1,345,596 and 364,874.56 is: 547,311.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    897,064 : 1,345,596 = 364,874.56 : x
  2. Step 2: Convert to fraction form
    897,064/1,345,596 = 364,874.56/x
  3. Step 3: Cross multiply
    897,064x = 1,345,596 × 364,874.56
  4. Step 4: Simplify right side
    897,064x = 490,973,748,437.76
  5. Step 5: Solve for x
    x = 490,973,748,437.76/897,064
  6. Step 6: Final answer
    x = 547,311.84

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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.