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Finding the Fourth Proportional to 698,654, 964,142.52 and 380,702

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Solution

The fourth proportional to 698,654, 964,142.52 and 380,702 is: 525,368.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,654 : 964,142.52 = 380,702 : x
  2. Step 2: Convert to fraction form
    698,654/964,142.52 = 380,702/x
  3. Step 3: Cross multiply
    698,654x = 964,142.52 × 380,702
  4. Step 4: Simplify right side
    698,654x = 367,050,985,649.04
  5. Step 5: Solve for x
    x = 367,050,985,649.04/698,654
  6. Step 6: Final answer
    x = 525,368.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.